AOKI Takashi 青木貴史

… Alternative Names

青木貴史アオキタカシ

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Researcher Number	80159285
Other IDs
External Links
Affiliation (Current)	2025: 近畿大学, 理工学部, 名誉教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 近畿大学, 理工学部, 名誉教授 2020: 近畿大学, 理工学部, 非常勤講師 2010 – 2019: 近畿大学, 理工学部, 教授 1997 – 2008: 近畿大学, 理工学部, 教授 2006: 近畿大学, 理工学部, 助教授 2001: 近畿大学, 理工学部, 助教授 1991 – 1998: 近畿大学, 理工学部, 助教授
Review Section/Research Field	Principal Investigator Basic analysis / 解析学 / Basic Section 12020:Mathematical analysis-related / Basic analysis Except Principal Investigator Basic analysis / Basic analysis / 解析学 / Algebra / 代数学・幾何学
Keywords	Principal Investigator ストークス現象 / WKB解 / 多重スケール解析 / パンルヴェ方程式 / 完全WKB解析 / 超幾何微分方程式 / WKB解析 / ストークス曲線 / 超幾何関数 / 変わり点 … More / 特異摂動 / 接続公式 / connection problems / Stokes curves / turning points / exact WKB analysis / 高階微分方程式 / 接続問題 / 無限階微分作用素 / ボレル総和法 / 漸近展開 / Stokes曲線 / Voros係数 / 合流型超幾何微分方程式 / ヴォロス係数 / 表象理論 / 形式解 / インスタントン解 / 多重ゼータ値 / 漸近解 / p-葉関数 / 単葉関数 / 無限階擬微分作用素 / モノドロミー保存変形 / 擬微分作用素 / 微分方程式 / 一般化超幾何関数 / ボレル和 / ボレル変換 / 一般化超幾何微分方程式 / hypergeometric functions / multiple zeta values / equations of infinite order / microdifferential equations / 局処理論 / 無限階擬微分方程式 / WKB solutions / local theory / differntial equations of infinite order / differential equations of higher-order / レベル交叉 / 積分表示 / 最急降下法 / 無段階微分方程式 / 局所理論 / 無限階微分方程式 / 高階線型常微分方程式 / formal functions / multiple-scale analysis / Duffing equation / p-valent functions / exponential asymptotics / transcendence / 3d order O.D.E. / Painleve equations / Stokes geometry / Duffing方程式 / 楕円関数 / ダフィング方程式 / 指数漸近級数 / 超越性 / 3階線型微分方程式 / Borel和 / Watsonの補題 / Borel総和法 / Stokes現象 / 超幾保関数 / インスタント解 / Parametric Stokes現象 / 幾何微分方程式 / 表象 / 漸近解析 / 解析的擬微分作用素 / 核関数 / パンルヴェ階層 / フックス型微分法的式 / 野海・山田方程式 / モノドロミー行列 / フックス型微分方程式 / 正則列 / 超越度 / 解析的局所環 / ホロノミック性 / 無限階微分方程式系 / cis-transnoid / trans-cisoid / cis-polyacetylene / 星型関数 / 一方向凸型 / 平面関数 / 形式射 / モイシェゾン空間 / 形式的解析空間 / ウエーバー型方程式 / エアリ方程式 / 特異摂動法 … More Except Principal Investigator 代数解析学 / 完全WKB解析 / Algebraic analysis / 層の超局所理論 / 偏微分方程式 / 無限階微分方程式 / 畳込み方程式 / 擬微分方程式 / 仮想的変わり点 / 微分・差分方程式 / Toulouse Project / 超局所解析 / 高階パンルヴェ方程式 / Pseudo-differential equations / Convolution equations / コーシー問題 / exact WKB analysis / 完全最急降下法 / 動かない特異点 / 代数解析 / ガルニエ系 / 超局所解析学 / 変わり点 / 無限階微分作用素 / Microlocal analysis of sheaves / Differential-difference equations / a virtual turning point / a higher order Painleve equation / Stokes図形 / 0-パラメタ解 / ストークス図形 / Lax対 / 野海・山田系 / Cauchy problem / partial differential equations / Differential equations of infinite ordre / Partial differential equations / ストークス曲線 / differential-difference equations / convolution equations / 合成積方程式 / Pearcey系 / ストークス幾何 / Voros係数 / 単純極作用素 / 積分作用素 / 微分作用素 / algebraic analysis / microlocal analysis / 解析学S-行列論 / ボレル総和法 / acnode / ファインマン積分 / 再生函数論 / Landau-中西幾何学 / Whitneyの傘 / 陪特性帯 / 再生函数 / パンルヴェ函数 / ボレル総和 / ランダウ・中西曲面 / 極大過剰決定系 / 超局所解析的S-行列論 / alien derivative / ボレル変換 / Operational calculus / Infinite order differential equations / 擬微分作用素 / 非局所微分方程式 / 演算子法 / a degenerate Garnier system / a turning point of the first kind / a 0-parameter solution / an instanton-type solution / P_J型高階パンルヴェ方程式 / インスタントン展開 / 新しいStokes曲線 / 両立条件 / ハミルトン系 / instanton型 / (パンルヴェ方程式の)第1種変わり点 / Toulouse計画 / ボレル平面 / 形式変換 / ∞-Weber方程式 / 退化ガルニエ系 / 1型変わり点 / インスタントン解 / singular perturbation theory / the exact steepest descent method / a microdifferential operator of WKB type / The Toulouse Project / 陪特性グラフ / Landau-Zener型 / 超局所微分作用素 / WKB型微分作用素 / 無限個の相 / 第2種の変わり点 / 第1種の変わり点 / 西川現象 / ストーク図形 / 高階バンルヴェ方程式 / WKB型擬微分作用素 / 高階パンルヴェ方式 / 特異摂動論 / WKB型超局所微分作用素 / トゥールーズ計画 / Microlocal study of sheaves / infinite ordre differential equations / pseudo-differential equations / hypergeometric / rational function / differential operator / integral operator / partial sum / convex function / starlike function / univalent function / Gauss 超幾何関数 / 合成積 / サブオーディネーション / 超幾何関数 / 有理型関数 / 部分和 / 凸型関数 / 星型関数 / 単葉関数 / Canchy problem / Micro-local study of sheaves / natural boundaries / infra-red divergence / virtual turning point / exact steepest descent method / exact steepest descent path / Stokes geometry / 積分表示 / Borel和 / 最急降下路 / 鞍点法 / n-level / 断熱近似 / Landau-Zener / 鞍点 / Borel変換 / 非断熱近似 / ボレル和 / 自然境界 / 赤外発散 / 完全最急降下路 / Stokes 幾何学 / Fukui invariant / Noetherian function / order / zero-estimate / 局所環 / 福井の不変量 / ネタリアン関数 / 位数 / 零評価 / Analytic Cortinuation / Micro-local analysis / parcial differential equations / differential equations of infinite order / pseudo differential equations / 非特性コ-シ-問題 / 解析接続 / 微分差合方程式 / 多重総和可能性 / ボレル総和可能性 / 新しいストークス曲線 / ストークス曲面 / 完全積分可能系 / 完全ＷＫＢ解析 / パンルベ方程式 / ＷＫＢ解析 / パンルヴェ階層 / 超幾何系 / 漸近解析 / 関数方程式論 / 解析学 / 分布,超分布 / 初期値,境界値問題 / 佐藤超函数D加群 / 無限階擬微分作用素 / 分布・超分布 / 初期値・境界値問題 / D-加群 / D加群 / 佐藤超函数 / MTP作用素 / 2重変わり点作用素 / ゴースト作用素 / alien calculus / MPPT作用素 / Mathieu方程式 / trussbridge diagram函数 / 解析的S-行列 / M2P1Tシュレーディンガー方程式 / 3 粒子閾値 / 解析的 S-行列 / 完全 WKB 解析 / fixed singularities / インスタントン型解 / Bessel関数の零点 / Wigner分布 / Poisson分布 / Bethe仮説 / 量子カオス / 非可積分系 / 可積分系 / ジャックの補題 / 多葉関数族 / 単葉関数族 / 正則関数 / Eisenstein Series(アイゼンスタイン級数) / Automorphic Forms(保型形式) / turning points / sigular peturbation / Feynman integral / infrared problem / Sーmatrix / WKB analysis Less

Exact WKB analysis of parametric Stokes phenomenaPrincipal Investigator
- Principal Investigator
  
  Aoki Takashi
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Kindai University
Algebraic analysis of parametric Stokes phenomenaPrincipal Investigator
- Principal Investigator
  
  AOKI TAKASHI
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kindai University
The structure theory of differential equations by the algebraic analysis of singular perturbation theory
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Asymptotic analysis of instanton-type solutionsPrincipal Investigator
- Principal Investigator
  
  AOKI Takashi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kinki University
Asymptotic analysis for hypergeometric systems and Garnier systems
- Principal Investigator
  
  TAKEI Yoshitsugu
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Structure theory of higher order Painleve equations through exact WKB analysis
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Study of Fuchsian system of differential equations from the view point of algebraic analysis and microlocal analysis
- Principal Investigator
  
  YAMAZAKI Susumu
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nihon University
Exact WKB analysis of systems of differential equationsPrincipal Investigator
- Principal Investigator
  
  AOKI Takashi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kinki University
Exact WKB analysis of higher order differential equations that is centered around the notion of a virtual turning point
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
Algebraic study of non-local differential equations and operational calculus
- Principal Investigator
  
  ISHIMURA Ryuichi
- Project Period (FY)
  2005 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chiba University
Algebraic-analytical Study of non-local pseudo-differential equations in complex domains
- Principal Investigator
  
  ISHIMURA Ryuichi
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Chiba University
Exact WKB analysis of microdifferential equations of infinite orderPrincipal Investigator
- Principal Investigator
  
  AOKI Takashi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KINKI UNIVERSITY
Structural analysis of differential equations by the exact WKB method
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyoto University
ALGEBRAIC ANALYTICAL STUDY OF SHEAVES AND INFINITE ORDRE DIFFERENTIAL EQUATIONS
- Principal Investigator
  
  ISHIMURA Ryuichi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  CHIBA UNIVERSITY
WKB analysis for high-order ordinary differencial equations with a large parameterPrincipal Investigator
- Principal Investigator
  
  AOKI Takashi
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  KINKI UNIVERSITY
Exact WKB analysis and microlocal analysis
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYOTO UNIVERSITY
ALGEBRAIC-ANALYTICAL STUDY OF PSEUDO-DIFFERENTIAL AND CONVOLUTION ERUATIONS
- Principal Investigator
  
  ISHIMURA Ryuichi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  CHIBA UNIVERSITY
Study on the properties for partial sums of analytic functions
- Principal Investigator
  
  OWA Shigeyoshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kinki University
Research of rings defined by a system of differential equations
- Principal Investigator
  
  IZUMI Shuzo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  KINKI UNIVERSITY
PSEUDO-DIFFERENTIAL EQUATIONS IN COMPLEX DOMAINS
- Principal Investigator
  
  ISHIMURA Ryuichi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  CHIBA UNIVERSITY
Algebraic Analysis of Exponential AsymptoticsPrincipal Investigator
- Principal Investigator
  
  AOKI Takashi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kinki University
周期的シュレディンガー方程式の断熱摂動の代数解析Principal Investigator
- Principal Investigator
  
  青木貴史
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kinki University
パンルヴェ超越関数と指数漸近解析Principal Investigator
- Principal Investigator
  
  青木貴史
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kinki University
無限階微分方程式系のホロノミック性Principal Investigator
- Principal Investigator
  
  青木貴史
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kinki University
一次元可積分多体系の半古典的量子化とランダム行列模型
- Principal Investigator
  
  中原幹夫
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kinki University
無限階微分方程式系の対称性とホロノミック系Principal Investigator
- Principal Investigator
  
  青木貴史
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kinki University
正則関数に関する作用素の総合的研究
- Principal Investigator
  
  尾和重義
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kinki University
モノドロミー保存変形のWKB解析Principal Investigator
- Principal Investigator
  
  青木貴史
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Kinki University
擬微分作用素と異空間解析の局所的研究Principal Investigator
- Principal Investigator
  
  青木貴史
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kinki University
超局所解析学とS-行列理論
- Principal Investigator
  
  KAWAI Takahiro
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for international Scientific Research
- Research Institution
  Kyoto University
多変数保型形成の整数論的研究
- Principal Investigator
  
  NAGAOKA Shoyu
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kinki University

[Book] Algebraic Analysis of Differential Equations2008
- Author(s)
  Takashi Aoki(編集)
- Total Pages
  352
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-18540197
[Book] Algebraic Analysis of Differential Equations, Springer2008
- Author(s)
  T. Aoki, H. Majima, Y. Takei, N. Tose (Eds.)
- Data Source
  KAKENHI-PROJECT-18540197
[Book] Zeta Functions, Topology and Quantum Physics2005
- Author(s)
  T.Aoki, S.Kanemitsu, M.Nakahara, Y.Ohno Eds.
- Total Pages
  219
- Publisher
  Springer
- Data Source
  KAKENHI-PROJECT-15540190
[Book] 超函数・FBI変換・無限階擬微分作用素(現代数学の潮流)2004
- Author(s)
  青木貴史, 片岡清臣, 山崎晋
- Total Pages
  313
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-15540190
[Book] 超函数・FBI変換・無限階疑微分作用素2004
- Author(s)
  青木貴史, 片岡清臣, 山崎晋
- Total Pages
  313
- Publisher
  共立出版
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] An elementary proof of the Voros connection formula for WKB solutions to the Airy equation with a large parameter2024
- Author(s)
  T. Aoki, T. Suzuki and S.Uchida
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Infinite order differential operators with a glimpse to applications to superoscillation2023
- Author(s)
  T. Aoki, Y. Okada, I. Sabadini and D. Struppa
- Journal Title
  
  Operator Theory: Advances and Applications
  
  Volume: 290 Pages: 1-26
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Degeneration structure of the Voros coefficients of the generalized hypergeometric differential equations with a large parameter2023
- Author(s)
  Aoki Takashi, Uchida Shofu
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 782 Pages: 43-56
- DOI
  10.1090/conm/782/15721
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter2022
- Author(s)
  Aoki Takashi, Uchida Shofu
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications
  
  Volume: 18
- DOI
  10.3842/sigma.2022.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] The hypergeometric function, the confluent hypergeometric function and WKB solutions2021
- Author(s)
  Takashi Aoki, Mika Tanda and Toshinori Takahashi
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 73 Issue: 4 Pages: 1019-1062
- DOI
  10.2969/jmsj/84528452
- NAID
  130008106899
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Voros coefficients of the Gauss hypergeometric differential equation with a large parameter2021
- Author(s)
  Takashi Aoki, Mika Tanda and Toshinori Takahashi
- Journal Title
  
  Integral Transforms and Special Functions
  
  Volume: 32 Issue: 5-8 Pages: 336-345
- DOI
  10.1080/10652469.2020.1838504
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03385, KAKENHI-PROJECT-18K13433
[Journal Article] Characterization of continuous endomorphisms of the space of entire functions of a given order2020
- Author(s)
  Aoki Takashi、Ishimura Ryuichi、Okada Yasunori、Struppa Daniele C.、Uchida Shofu
- Journal Title
  
  Complex Variables and Elliptic Equations
  
  Volume: - Issue: 9 Pages: 1439-1450
- DOI
  10.1080/17476933.2020.1767086
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05170, KAKENHI-PROJECT-18K03385
[Journal Article] A Differential Operator Representation of Continuous Homomorphisms Between the Spaces of Entire Functions of Given Proximate Orders2020
- Author(s)
  Aoki Takashi、Ishimura Ryuichi、Okada Yasunori
- Journal Title
  
  Complex Analysis and Operator Theory
  
  Volume: 14 Issue: 8
- DOI
  10.1007/s11785-020-01031-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05170, KAKENHI-PROJECT-18K03385
[Journal Article] Exact WKB analysis and Jacobi polynomials2019
- Author(s)
  T. Aoki, T. Takahasi and M. Tanda
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B75 Pages: 123-137
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Exact WKB Analysis of Schrödinger Equations with a Stokes Curve of Loop Type2019
- Author(s)
  T. Aoki, K. Iwaki and T. Takahashi
- Journal Title
  
  FE
  
  Volume: 62 Issue: 1 Pages: 1-34
- DOI
  10.1619/fesi.62.1
- NAID
  130007649857
- ISSN
  0532-8721
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03385, KAKENHI-PROJECT-16H06337
[Journal Article] Continuity of some operators arising in the theory of superoscillations2018
- Author(s)
  T. Aoki, F. Colombo, I. Sabadini and D. C. Struppa
- Journal Title
  
  Quantum Studies: Mathematics and Foundations
  
  Volume: 5 Issue: 3 Pages: 463-476
- DOI
  10.1007/s40509-018-0159-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Continuity theorems for a class of convolution operators and applications to superoscillations2018
- Author(s)
  T. Aoki, F. Colombo, I. Sabadini and D. C. Struppa
- Journal Title
  
  Annali di Matematica
  
  Volume: 197 Issue: 5 Pages: 1533-1545
- DOI
  10.1007/s10231-018-0736-x
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Journal Article] Relation between the hypergeometric function and WKB solutions2017
- Author(s)
  T. Aoki, T. Takahasi and M. Tanda
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 61
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400126
[Journal Article] Foundation of symbol theory for analytic pseudodifferential operators, I2017
- Author(s)
  Takashi Aoki, Naofumi Honda and Susumu Yamazaki
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 69 Issue: 4 Pages: 1715-1801
- DOI
  10.2969/jmsj/06941715
- NAID
  130006887116
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04908, KAKENHI-PROJECT-15K04887, KAKENHI-PROJECT-26400126
[Journal Article] Parametric Stokes phenomena of the Gauss hypergeometric differential equation with a large parameter2016
- Author(s)
  Takashi Aoki and Mika Tanda
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 68 Issue: 3 Pages: 1099-1132
- DOI
  10.2969/jmsj/06831099
- NAID
  130005166137
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400126
[Journal Article] The hypergeometric function and WKB solutions2016
- Author(s)
  Takashi Aoki, Toshinori Takahashi, Mika Tanda
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 57 Pages: 61-68
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400126
[Journal Article] Exact WKB analysis of confluent hypergeometric differential equations with a large parameter2014
- Author(s)
  Takashi Aoki, Toshinori Takahashi, Mika Tanda
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B52 Pages: 165-174
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400126
[Journal Article] Characterization of Stokes graphs and Voros coefficients of hypergeometric differential equations with a large parameter2013
- Author(s)
  Takashi Aoki, Mika Tanda
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B40 Pages: 147-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] Characterization of Stokes graphs and Voros coefficients of hypergeometric differential equations with a large parameter2013
- Author(s)
  T. Aoki and M. Tanda
- Journal Title
  
  RIMS Kôkyûroku Bessatsu
  
  Volume: B40巻 Pages: 147-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340029
[Journal Article] On a construction of general formal solutions for equations of theﬁrst Painlev´e hierarchy I2013
- Author(s)
  T. Aoki, N. Honda and Y. Umeta
- Journal Title
  
  Advances in Mathematics
  
  Volume: 235 Pages: 496-524
- DOI
  10.1016/j.aim.2012.12.011
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] Characterization of Stokes graphs and Voros coeﬃcients of hypergeometric diﬀerential equations with a large parameter2013
- Author(s)
  T. Aoki, M. Tanda
- Journal Title
  
  RIMS Kˆokyuˆroku Bessatsu
  
  Volume: B40 Pages: 147-162
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] On the number of the turning points of the second kind of the Noumi-Yamada systems with a large parameter2013
- Author(s)
  Takashi Aoki, Naofumi Honda, Yoko Umeta
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B37 Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] 解析的擬微分作用素の核関数と表象について2013
- Author(s)
  青木貴史, 本多尚文, 山崎晋
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1835 Pages: 21-37
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] On the number of the turning points of the second kind of the Noumi-Yamada systems with a large parameter2013
- Author(s)
  T. Aoki, N. Honda, Y. Umeta
- Journal Title
  
  RIMS Kˆokyuˆroku Bessatsu
  
  Volume: B37 Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] 超局所解析から見た完全WKB解析入門2011
- Author(s)
  青木貴史
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1723 Pages: 125-141
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] Geometric properties of the Riemann surfaces associated with the Noumi-Yamada systems with a large parameter2011
- Author(s)
  T. Aoki and N. Honda
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 63 Issue: 4 Pages: 1085-1119
- DOI
  10.2969/jmsj/06341085
- NAID
  10030344748
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340029, KAKENHI-PROJECT-22540210
[Journal Article] Some concrete shapes of degenerate Stokes curves of hypergeometric differential equations with a large parameter2011
- Author(s)
  T.Aoki, M.Tanda
- Journal Title
  
  J.School Sci.Eng.Kinki Univ.
  
  Volume: 47 Pages: 5-8
- NAID
  120005736255
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] On generating functions of multiple zeta values and generalized hypergeometric functions2011
- Author(s)
  T.Aoki, Y.Ohno, N.Wakabayashi
- Journal Title
  
  Manuscripts Mathematics
  
  Volume: 134 Pages: 139-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540210
[Journal Article] Bender-Wu analysis and the Voros theory, II2009
- Author(s)
  Takashi Aoki
- Journal Title
  
  Advanced Studies in Pure Mathematics 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] The Bender-Wu analysis and the Voros theory. II.2009
- Author(s)
  T. Aoki, T. Kawai, and Y. Takei
- Journal Title
  
  Advanced Studies in Pure Math.
  
  Volume: 54 Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] The Bender-Wu analysis and the Voros theory. II.2009
- Author(s)
  T.Aoki, T.Kawai, Y.Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics, Math.Soc.Japan 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] The Bender-Wu analysis and the Voros theory, II2009
- Author(s)
  T.Aoki, T.Kawai, Y.Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics Vol. 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21340029
[Journal Article] The Bender-Wu analysis and the Voros theory. II2009
- Author(s)
  Takashi Aoki, Takahiro Kawai, Yoshitsugu Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340028
[Journal Article] The Bender-Wu analysis and the Voros theory. II2009
- Author(s)
  T. Aoki, T. Kawai, Y. Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics 54
  
  Pages: 19-94
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Principally tame regular sequences associated with the fourth Painleve hierarchy with a large parameter2008
- Author(s)
  T. Aoki and N. Honda
- Journal Title
  
  Proceedings of the Japan Academy 84, Ser. A
  
  Pages: 42-47
- NAID
  40015931130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Regular sequences associated with the Noumi-Yamada equations with a large parameter2008
- Author(s)
  T. Aoki, N. Honda
- Journal Title
  
  Algebraic Analysis of Differential Equations, T. Aoki, H. Majima, Y. Takei and N. Tose (Eds.) Springer
  
  Pages: 45-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] A generating function for sums of multiple zeta values and its applications2008
- Author(s)
  Takashi Aoki
- Journal Title
  
  Proceedings of the American Mathematical Society 136
  
  Pages: 387-395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] A generating function for sums of multiple zeta values and its applications2008
- Author(s)
  T. Aoki, Y. Kombu, Y. Ohno
- Journal Title
  
  Proceedings of the American Mathematical Society 136
  
  Pages: 387-395
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Multiple-scale analysis for higher-order Painleve equations2008
- Author(s)
  T. Aoki
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 89-98
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Monodromy matrices of a second order Fuchsian differential equation with five singular points2008
- Author(s)
  T. Aoki, T. Iizuka
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 117-127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Monodromy matrices of a second order Fuchsian differential equationwith five singular points2008
- Author(s)
  Takashi Aoki
- Journal Title
  
  RIMS Kokvuroku Bessatsu B5
  
  Pages: 117-127
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Principally tame regular sequences associated with the fourth Painleve Hierarchy with a large parameter2008
- Author(s)
  Takashi Aoki
- Journal Title
  
  Proceedings of the Japan Academy, Ser. A 84
  
  Pages: 42-47
- NAID
  40015931130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Multiple-scale analysis for higher-order Painleve equations2008
- Author(s)
  Takashi Aoki
- Journal Title
  
  RIMS Kokyuroku Bessatsu B5
  
  Pages: 89-98
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Classification of Stokes graphs of second order Fuchsian differential equations of genus two2007
- Author(s)
  T.aoki, T.Iizuka
- Journal Title
  
  Publication of RIMS, Kyoto University 43
  
  Pages: 241-276
- NAID
  110006202851
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Classification of Stokes graphs of second order Fuchsian differential equations of genus two2007
- Author(s)
  Takashi Aoki
- Journal Title
  
  Publ.RIMS Kyoto Univ 43
  
  Pages: 241-276
- NAID
  110006202851
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Virtual turning point and isomonodromic deformations-On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems2006
- Author(s)
  T., Aoki, T., Kawai, T., Koike, S., Sasaki, Y., Takei
- Journal Title
  
  RIMS Kokyuroku 1493
  
  Pages: 191-211
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] 野海・山田系に付随する代数方程式系について2006
- Author(s)
  青木貴史, 本多尚文
- Journal Title
  
  数理解析研究所講究録 1516
  
  Pages: 1-8
- Data Source
  KAKENHI-PROJECT-18540197
[Journal Article] Virtual turning points - A gift of microlocal analysis to the exact WKB analysis2006
- Author(s)
  T.Aoki
- Journal Title
  
  RIMS Preprint 1533
  
  Pages: 1-20
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points and isomonodromic deformations-On the observation of S. Sasaki for the creation of new Stokes curves of Noumi-Yamada systems-2006
- Author(s)
  T. Aoki, T. Kawai, T. Koike, S. Sasaki and Y. Takei
- Journal Title
  
  RIMS Kokyuroku 1493
  
  Pages: 191-211
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T., Aoki, T., Kawai, T., Koike, Y., Takei
- Journal Title
  
  Contemporary Math 373
  
  Pages: 11-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases.2005
- Author(s)
  T.Aoki
- Journal Title
  
  Contemporary Math. No.373
  
  Pages: 11-45
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Sum relations for multiple zeta values and connection formulas of the Gauss hypergeometric functions2005
- Author(s)
  T.Aoki, Y.Ohno
- Journal Title
  
  Publ.RIMS Kyoto Univ. 41
  
  Pages: 329-337
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Analyzable Functions and Applications, Contemporary Mathematics Volume 373, AMS
  
  Pages: 11-47
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005
- Author(s)
  T.Aoki, T.Kawai, S.Sasaki, A.Shudo, Y.Takei
- Journal Title
  
  Journal of Physics A : Mathematical and General 38
  
  Pages: 3317-3336
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation2005
- Author(s)
  T. Aoki, T. Kawai, T. Koike and Y. Takei
- Journal Title
  
  RIMS Kokyuroku 1431
  
  Pages: 1-13
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Contemporary Mathematics 373
  
  Pages: 11-47
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases.2005
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Contemporary Math. (in press)
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Sum relations for multiple zeta values and connection formulas of the Gauss hypergeometric functions2005
- Author(s)
  T.Aoki, Y.Ohno
- Journal Title
  
  Publ. RIMS Kyoto Univ. 41
  
  Pages: 11-47
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] On the exact WKB analysis of microdifferential operators of WKB type.2005
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Ann.Inst.Fourier (in press)
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations.2005
- Author(s)
  T.Aoki et al.
- Journal Title
  
  J.Phys. A38
  
  Pages: 3317-3336
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T.Aoki
- Journal Title
  
  Contemporary Math. 373
  
  Pages: 11-45
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases.2005
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Contemporary Math. 373
  
  Pages: 11-45
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] A fresh glimpse into the Stokes geometry of the Berk-Nevins-Roberts equation through a singular coordinate transformation2005
- Author(s)
  T., Aoki, T., Kawai, T., Koike, Y., Takei
- Journal Title
  
  RIMS Kokyuroku 1431
  
  Pages: 1-13
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations2005
- Author(s)
  T.Aoki
- Journal Title
  
  J.Phys. A38
  
  Pages: 3317-3336
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations.2005
- Author(s)
  T.Aoki et al.
- Journal Title
  
  J.PHys., A. (in press)
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On global aspects of exact WKB analysis of operators admitting infinitely many phases2005
- Author(s)
  T. Aoki, T. Kawai and T. Koike and Y. Takei
- Journal Title
  
  Contemporary Math. 373
  
  Pages: 11-47
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340035
[Journal Article] On the Stokes geometry of higher order Painleve equations.2005
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Asterisque (in press)
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations.2005
- Author(s)
  T.Aoki
- Journal Title
  
  J. Phys. A38
  
  Pages: 3317-3336
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the exact WKB analysis of microdifferential operators of WKB type2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Annales de l'Institut Fourier, Grenoble 54
  
  Pages: 1393-1421
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] The exact steepest descent method - A new steepest descent method based on the exact WKB analysis2004
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Advanced Studies in Pure Math. 42
  
  Pages: 45-61
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] The exact steepest descent method - A new steepest descent method based on the exact WKB analysis.2004
- Author(s)
  T.Aoki
- Journal Title
  
  Adv. Studies in Pure Math. 42
  
  Pages: 45-61
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the exact WKB analysis of microdifferential operators of WKB type2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Annales de l'Institut Fourier, Grenoble 54-5
  
  Pages: 1393-1421
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] The exact steepest descent method-a new steepest descent method based on the exact WKB analysis2004
- Author(s)
  T.Aoki, T.Kawai, Y.Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics 42
  
  Pages: 45-61
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] The exact steepest descent method- A new steepest descent method based on the exact WKB analysis.2004
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Adv.Studies in Pure Math. 42
  
  Pages: 45-61
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the exact WKB analysis of operators admitting infinitely Many phases2004
- Author(s)
  AOKI Takashi, KAWAI Takahiro, KOIKE Tatsuya, TAKEI Yoshitsugu
- Journal Title
  
  Advances in Mathematics 181
  
  Pages: 165-189
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540155
[Journal Article] The exact steepest descent method ‥ a new steepest descent method based on the exact WKB analysis2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics 42
  
  Pages: 45-61
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] On the exact WKB analysis of operators admitting infinitely many phases2004
- Author(s)
  AOKI Takashi, KAWAI Takahiro, KOIKE Tatsuya, TAKEI Yos
- Journal Title
  
  Advances in Mathematics 181
  
  Pages: 165-189
- Data Source
  KAKENHI-PROJECT-15540155
[Journal Article] On the exact WKB analysis of operators admitting infinitely many phases2004
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Adv.in Math. 181
  
  Pages: 165-189
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the exact WKB analysis of operators admitting infinitely many phases2004
- Author(s)
  T.Aoki, T.Kawai, T.Koike, Y.Takei
- Journal Title
  
  Advances in Mathematics 181
  
  Pages: 165-189
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] On the exact WKB analysis of operators admitting infinitely many phases.2004
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Adv.in Math. 181
  
  Pages: 165-189
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the exact WKB analysis of microdifferential operators of WKB type.2004
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Ann.Inst.Fourier 54
  
  Pages: 1393-1421
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] On the exact WKB analysis of operators admitting infinitely many phases2004
- Author(s)
  AOKI Takashi, KAWAI Takahiro, KOIKE Tatsuya, TAKEI Yoshitsugu
- Journal Title
  
  Advances in Mathematics 181
  
  Pages: 165-189
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540155
[Journal Article] On the exact WKB analysis of microdifferential operators on WKB type.2004
- Author(s)
  T.Aoki
- Journal Title
  
  Ann. Inst. Fourier 54
  
  Pages: 1393-1421
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] The exact steepest descent method -- a new steepest descent method based on the exact WKB analysis2004
- Author(s)
  T.Aoki, T.Kawai, Y.Takei
- Journal Title
  
  Advanced Studies in Pure Mathematics 42
  
  Pages: 45-61
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540190
[Journal Article] On the exact WKB analysis of operators admitting infinitely many phases.2004
- Author(s)
  T.Aoki
- Journal Title
  
  Adv. in Math. 181
  
  Pages: 165-189
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Vanishing of Stokes curves.2002
- Author(s)
  T.Aoki et al.
- Journal Title
  
  Microlocal Analysis and Complex Fourier Analysis, World Scientific
  
  Pages: 1-22
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Vanishing of Stokes curves.2002
- Author(s)
  T.Aoki
- Journal Title
  
  Microlocal Analysis and Complex Fourier Analysis
  
  Pages: 1-22
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340042
[Journal Article] Some relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
- Author(s)
  AOKI Takashi, OHNO Yasuo
- Journal Title
  
  Publications RIMS, Kyouto University (to appear)
- Data Source
  KAKENHI-PROJECT-15540155
[Journal Article] Some relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
- Author(s)
  AOKI Takashi, OHNO Yasuo
- Journal Title
  
  Publications RIMS(Kyouto University) (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540155
[Journal Article] Some relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions
- Author(s)
  AOKI Takashi, OHNO Yasuo
- Journal Title
  
  Publications RIMS, Kyouto University (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540155
[Presentation] 整関数の空間における連続準同型の微分作用素表示2023
- Author(s)
  青木貴史，石村隆一，岡田靖則（登壇者）
- Organizer
  日本数学会　2023年会
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] 超幾何関数とWKB解の関係2023
- Author(s)
  青木貴史　高橋甫宗　反田美香
- Organizer
  日本数学会　秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] Exact WKB analysis of the integral with an elliptic-function phase2023
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposia (open):Various problems in microlocal analysis and asymptotic analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] Exact WKB analysis for the Pearcey system with a large parameter2022
- Author(s)
  青木貴史，鈴木貴雄，内田匠風（登壇者）
- Organizer
  日本数学会　2022秋期総合分科会
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] An elementary approach to the exact WKB analysis of the Pearcey system with a large parameter2022
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium Prospects in microlocal analysis and asymptotic analysis
- Invited
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] The return of “The Bender-Wu analysis and the Voros theory”2021
- Author(s)
  Takashi Aoki
- Organizer
  RIMS workshop (online) “Exact WKB analysis, microlocal analysis, Painleve equations and relatted topics”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] A Kummer-WKB dictionary2021
- Author(s)
  Takashi Aoki
- Organizer
  Exact Quantization/Exact WKB and resurgence, ARA focus week, Isaac Newton Institute (online)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] A Kummer-WKB dictionary2019
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium (open) "Microlocal Analysis and Asymptotic Analys''
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] Voros coefficient at the origin of the generalized hypergeometric differential equation with a large parameter2019
- Author(s)
  青木貴史、内田匠風
- Organizer
  日本数学会2019年度年会・函数方程式論分科会
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] The hypergeometric function and WKB solutions2019
- Author(s)
  Takashi Aoki
- Organizer
  15th International Symposium on Orthogonal Polynomials, Special Functions and Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] Toward the exact WKB analysis of the generalized hypergeometric differential equation, I2018
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium (open) “Various Problems of Algebraic Analysis”
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] Exact WKB analysis of the hypergeometric differential equation2018
- Author(s)
  青木貴史
- Organizer
  研究集会「複素領域における微分方程式とその周辺」
- Invited
- Data Source
  KAKENHI-PROJECT-18K03385
[Presentation] Exact WKB analysis of the Gauss hypergeometric differential equation2017
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Joint Research Microlocal analysis and asymptotic analysis
- Invited
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] Exact WKB analysis of the Gauss hypergeometric differential equation2017
- Author(s)
  Takashi Aoki
- Organizer
  RIMS-iTHEMS International Workshop on Resurgence Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The Gauss hypergeometric function, the Kummer confluent hypergeo- metric function and WKB solutions2016
- Author(s)
  Takashi Aoki
- Organizer
  Resurgence at Kavli IPMU
- Place of Presentation
  Kavli IPMU, University of Tokyo, Chiba
- Year and Date
  2016-12-15
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The hypergeometric function, confluent hypergeometric functions and WKB solutions2016
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium on New development of microlocal analysis and singular perturbation theory
- Place of Presentation
  RIMS, Kyoto University, Kyoto
- Year and Date
  2016-10-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] 合流型超幾何関数と WKB 解の関係2016
- Author(s)
  青木貴史，反田美香，高橋甫宗
- Organizer
  日本数学会
- Place of Presentation
  関西大学, 大阪
- Year and Date
  2016-09-15
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] 超幾何関数とWKB解2015
- Author(s)
  反田美香, 青木貴史
- Organizer
  日本数学会2015年会
- Place of Presentation
  明治大学（東京都千代田区）
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The hypergeometric function and WKB solutions2015
- Author(s)
  Takashi Aoki
- Organizer
  微分方程式の総合的研究
- Place of Presentation
  東京大学数理科学研究科　東京
- Year and Date
  2015-12-20
- Invited
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The hypergeometric function and WKB solutions2015
- Author(s)
  Takashi Aoki
- Organizer
  大阪梅田微分方程式セミナー
- Place of Presentation
  関西学院大阪梅田キャンパス（大阪府大阪市）
- Year and Date
  2015-02-22
- Invited
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The hypergeometric function and WKB solutions2015
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium on Microlocal Analysis and Singular Perturbation Theory
- Place of Presentation
  Research Institute for Mathematical Sciences, Kyoto
- Year and Date
  2015-10-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] Exact WKB analysis of Schrdoeingier equation with a Stokes curve of loop type2015
- Author(s)
  高橋甫宗, 岩木耕平, 青木貴史
- Organizer
  日本数学会2015年会
- Place of Presentation
  明治大学（東京都千代田区）
- Year and Date
  2015-03-21
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The hypergeometric function and WKB solutions2015
- Author(s)
  Takashi Aoki
- Organizer
  Analytic, Algebraic and Geometric Aspects of Differential Equations
- Place of Presentation
  Bedlewo, Poland
- Year and Date
  2015-09-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] The hypergeometric function and WKB solutions2014
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium on Several aspects of micro local analysis
- Place of Presentation
  RIMS, Kyoto University（京都府京都市）
- Year and Date
  2014-10-20
- Invited
- Data Source
  KAKENHI-PROJECT-26400126
[Presentation] 積分表示とWKB解2014
- Author(s)
  青木貴史
- Organizer
  研究集会「代数解析と局所凸空間」
- Place of Presentation
  日本大学理工学部
- Year and Date
  2014-02-18
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Voros coeﬃcients of conﬂuent hypergeometric diﬀerential equations with a large parameter2013
- Author(s)
  青木貴史
- Organizer
  研究集会「代数解析学の諸問題」
- Place of Presentation
  千葉大学
- Year and Date
  2013-11-29
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Gaussの超幾何微分方程式のVoros係数の全Stokes領域におけるBorel 和2013
- Author(s)
  反田美香、青木貴史
- Organizer
  日本数学会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Exact WKB analysis of conﬂuent hypergeometric equations2013
- Author(s)
  T. Aoki
- Organizer
  RIMS Symposium on Exponential analysis of diﬀerential equations and related topics
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2013-10-16
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Exact WKB analysis of conﬂuent hypergeometric diﬀerential equations with a large parameter2013
- Author(s)
  T. Aoki
- Organizer
  Workshop"Several aspects of algebraic analysis–D-modules, singularity theory and computational algebra–"
- Place of Presentation
  Nihon University
- Year and Date
  2013-03-15
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Gaussの超幾何微分方程式のVoros係数の全Stokes領域におけるBorel和2013
- Author(s)
  青木貴史, 反田美香
- Organizer
  日本数学会2013年秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] 超幾何微分方程式のVoros係数のBorel和とパラメトリックStokes現象2012
- Author(s)
  青木貴史, 反田美香
- Organizer
  日本数学会2012年度秋季総合分科会
- Place of Presentation
  九州大学
- Year and Date
  2012-09-18
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter2012
- Author(s)
  Takashi Aoki, Naofumi Honda,Susumu Yamazaki
- Organizer
  RecentDevelopment of Microlocal Analysis and Asymptotic Analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-10-26
- Data Source
  KAKENHI-PROJECT-20540191
[Presentation] Kernel functions and symbols of pseudodiﬀerential operators of inﬁnite order with an apparent parameter2012
- Author(s)
  T. Aoki, N. Honda, S. Yamazaki
- Organizer
  RIMS Symposium on Recent development of microlocal analysis and asymptotic analysis
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2012-10-26
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Voros coefficients for hypergeometric differential equations with a large parameter2012
- Author(s)
  T.Aoki
- Organizer
  Microlocal analysis and its development
- Place of Presentation
  日本大学(東京都)
- Year and Date
  2012-03-10
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] 超幾何微分方程式のVoros係数2012
- Author(s)
  青木貴史、反田美香
- Organizer
  2012年度日本数学会年会
- Place of Presentation
  東京理科大学(東京都)
- Year and Date
  2012-03-26
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Voros coefficients of hypergeometric differential equations with a large parameter2011
- Author(s)
  T.Aoki, M.Tanda
- Organizer
  Recent development of micro-local analysis for the theory of asymptotic analysis
- Place of Presentation
  数理解析研究所(京都市)
- Year and Date
  2011-11-17
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] 超局所解析から見た完全WKB解析入門2010
- Author(s)
  青木貴史
- Organizer
  RIMS共同研究「経路積分と超局所解析の入門」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2010-05-27
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Introduction to the symbol theory of pseudodifferential operators2009
- Author(s)
  青木貴史
- Organizer
  RIMS共同研究無限階擬微分作用素の超局所解析と漸近解析(代表者青木貴史)
- Place of Presentation
  京都
- Year and Date
  2009-02-13
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] 多重ゼータ値と超幾何関数2009
- Author(s)
  青木貴史
- Organizer
  RIMS共同研究微分方程式のモノドロミーをめぐる諸問題(代表木村弘信)
- Place of Presentation
  京都
- Year and Date
  2009-02-03
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] 多重ゼータ値と超幾何関数2009
- Author(s)
  青木貴史
- Organizer
  微分方程式のモノドロミーをめぐる諸問題
- Place of Presentation
  京都
- Year and Date
  2009-02-03
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] Tame regular sequences and applications, Holomorphic partial differential equations, small divisors and summability2008
- Author(s)
  T. Aoki
- Organizer
  CIRM
- Place of Presentation
  Luminiy
- Year and Date
  2008-02-01
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] Tame regular sequences and applications2008
- Author(s)
  T., Aoki
- Organizer
  CIRM Conference "Holomorphic Partial Differential Equations, Small Divisors and Summability"
- Place of Presentation
  CIRM, Marseille (France)
- Year and Date
  2008-02-01
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Tame regular sequences and applications2008
- Author(s)
  Takashi Aoki
- Organizer
  Holomorphic partial differential equations, small divisors and summability
- Place of Presentation
  CIRM,Luminy
- Year and Date
  2008-02-01
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] Tame regular sequences and applications2008
- Author(s)
  青木貴史
- Organizer
  Holomorphic partial differential equations, small divisors and summability
- Place of Presentation
  CIRM,
- Year and Date
  2008-02-01
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory(Part 2)2007
- Author(s)
  Takashi Aoki, Takahiro Kawai and Yoshitsugu Takei
- Organizer
  Differential Equations and Exact WKB Analysis
- Place of Presentation
  京都大学数理解析研究所
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Construction of formal solutions of Painleve hierarchies2007
- Author(s)
  T. Aoki
- Organizer
  Workshop on Theoretical and Applied Sciences
- Place of Presentation
  Rome
- Year and Date
  2007-03-05
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] Construction of formal solutions of Painleve hierarchies2007
- Author(s)
  T., Aoki
- Organizer
  "Workshop on Theoretical and Applied Sciences", University of Rome
- Place of Presentation
  La Sapienza (Italy)
- Year and Date
  2007-03-05
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Construction of formal solutions of Painleve hierarchies2007
- Author(s)
  青木貴史
- Organizer
  Workshop on Theoretical and Applied Sciences
- Place of Presentation
  University of Rome La Sapienza
- Year and Date
  2007-03-05
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007
- Author(s)
  T., Aoki, T., Kawai, Y., Takei
- Organizer
  RIMS Conference "Differential Equations and Exact WEB Analysis"(two lectures)
- Place of Presentation
  RIMS, Kyoto University
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] The Bender-Wu analysis and the Voros theory (Part 2)2007
- Author(s)
  T. Aoki, T. Kawai and Y. Takei
- Organizer
  RIMS Conference"Differential Equations and Exact WKB Analysis"
- Place of Presentation
  RIMS, Kyoto University
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] 高階 Painleve 方程式の多重スケール解析2006
- Author(s)
  青木貴史
- Organizer
  微分方程式系の代数解析と完全 WKB 解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-12-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the systems of algebraic equations associated with the Noumi-Yamada equations (with N. Honda)2006
- Author(s)
  T., Aoki
- Organizer
  RIMS Conference "Hyperfunctions and Linear Differential Equations 2006"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2006-03-07
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Sum relations for multiple zeta values and the Gauss hypergeometric function2006
- Author(s)
  青木貴史
- Organizer
  Applied Asymptotics and Modelling
- Place of Presentation
  ICMS
- Year and Date
  2006-06-26
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Sum relations for multiple zeta values and the Gauss hypergeometric function2006
- Author(s)
  T., Aoki
- Organizer
  ICMS Workshop "Applied Asymptotics and Modelling"
- Place of Presentation
  ICMS, Edinburgh (UK)
- Year and Date
  2006-06-26
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] On the systems of algebraic equations associated with the Noumi-Yamada equations2006
- Author(s)
  T. Aoki with N. Honda
- Organizer
  超関数と線型微分方程式2006
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2006-03-07
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Sum relations for multiple zeta values and the Gauss hypergeometric function, Applied Asymptotics and Modelling2006
- Author(s)
  T. Aoki
- Organizer
  ICMS
- Place of Presentation
  Edinburgh
- Year and Date
  2006-06-26
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] Multiple scale analysis for higher order Painleve equations2006
- Author(s)
  T., Aoki
- Organizer
  RIMS Conference "Algebraic Analysis and the Exact WKB Analysis for Systems of Differential Equations"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2006-12-12
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] 高階Painleve方程式の多重スケール解析2006
- Author(s)
  青木貴史
- Organizer
  RIMS研究集会微分方程式系の代数解析と完全WKB解析(代表者青木貴史)
- Place of Presentation
  京都
- Year and Date
  2006-12-12
- Data Source
  KAKENHI-PROJECT-18540197
[Presentation] Exact WKB analysis via computers2005
- Author(s)
  青木貴史
- Organizer
  Algebraic Analysis of Differential Equations Microlocal Analysis to Exponential Asymptotics-in honor of Prof. Takahiro KAWAI on the occasion of his sixtieth birthday
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2005-07-12
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Exact WKB analysis via computers2005
- Author(s)
  T., Aoki
- Organizer
  RIMS Conference "Algebraic Analysis of Differential Equations-from Microlocal Analysis to Exponential Asymptotics-"
- Place of Presentation
  RIMS, Kyoto University
- Year and Date
  2005-07-12
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340035
[Presentation] Voros coefficients of confluent hypergeometric differential equations with a large parameter
- Author(s)
  青木貴史
- Organizer
  研究集会「代数解析学の諸問題」
- Place of Presentation
  千葉大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Exact WKB analysis of confluent hypergeometric differential equations with a large parameter
- Author(s)
  Takashi Aoki
- Organizer
  Several aspects of algebraic analysis - D-modules, singularity theory and computational algebra
- Place of Presentation
  日本大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Parametric Stokes phenomena for hypergeometric differential equations
- Author(s)
  Takashi Aoki, Mika Tanda (Mika Tanda)
- Organizer
  RIMS Symposium on Recent development of microlocal analysis and asymptotic analysis
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] 合流超幾何微分方程式の Voros 係数
- Author(s)
  高橋甫宗、反田美香、青木貴史
- Organizer
  日本数学会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] 超幾何微分方程式の Voros 係数の Borel 和とパラメトリック Stokes 現象
- Author(s)
  青木貴史，反田美香（反田美香）
- Organizer
  日本数学会 2012 年度秋季総合分科会
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Kernel functions and symbols of pseudodifferential operators of infinite order with an apparent parameter
- Author(s)
  Takashi Aoki, Naofumi Honda, Susumu Yamazaki (Susumu Yamazaki)
- Organizer
  RIMS Symposium on Recent development of microlocal analysis and asymptotic analysis
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] 積分表示と WKB 解
- Author(s)
  青木貴史
- Organizer
  研究集会「代数解析と局所凸空間」
- Place of Presentation
  日本大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540210
[Presentation] Exact WKB analysis of confluent hypergeometric equations
- Author(s)
  Takashi Aoki
- Organizer
  RIMS Symposium on Exponential analysis of differential equations and related topics
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-22540210

1. IZUMI Shuzo (80025410)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
2. TAKEI Yoshitsugu (00212019)

# of Collaborated Projects: 9 results

# of Collaborated Products: 13 results
3. KAWAI Takahiro (20027379)

# of Collaborated Projects: 8 results

# of Collaborated Products: 12 results
4. KOIKE Tatsuya (80324599)

# of Collaborated Projects: 7 results

# of Collaborated Products: 6 results
5. NAKAMURA Yayoi (60388494)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
6. TAJIMA Shinichi (70155076)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
7. OWA Shigeyoshi (50088506)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
8. HONDA Naofumi (00238817)

# of Collaborated Projects: 5 results

# of Collaborated Products: 10 results
9. ISHIMURA Ryuichi (10127970)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
10. TOSE Nobuyuki (00183492)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
11. OKADA Yasunori (60224028)

# of Collaborated Projects: 5 results

# of Collaborated Products: 2 results
12. HINO Yoshiyuki (70004405)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
13. TAZAWA Shinsei (80098657)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
14. NAGAOKA Shoyu (20164402)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
15. YAMAZAKI Susumu (00349953)

# of Collaborated Projects: 3 results

# of Collaborated Products: 3 results
16. SUZUKI Takao (60527208)

# of Collaborated Projects: 3 results

# of Collaborated Products: 2 results
17. 中川暢夫 (10088403)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
18. 中原幹夫 (90189019)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
19. OHNO Yasuo (70330230)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
20. MATSUI Yutaka (10510026)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. 渚勝 (50189172)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. UMETA Yoko (90606386)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. FUKUI Toshizumi (90218892)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. SAIGO Megumi (10040403)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. NUNOKAWA Mamoru (00008137)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 神崎煕夫 (30046883)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 松山晶彦 (90190545)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. 斎藤恭司 (20012445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. 室田一雄 (50134466)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. 吉野正史 (00145658)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. 筒井亨 (00197732)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. 桜井貴文 (60183373)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. KAMIMOTO Shingo

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. WEINSTEIN Al

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. STAPP Henry

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

AOKI Takashi 青木 貴史

青木 貴史 アオキ タカシ

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Exact WKB analysis of parametric Stokes phenomenaPrincipal Investigator

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Algebraic analysis of parametric Stokes phenomenaPrincipal Investigator

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Asymptotic analysis of instanton-type solutionsPrincipal Investigator

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Exact WKB analysis of systems of differential equationsPrincipal Investigator

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Exact WKB analysis of microdifferential equations of infinite orderPrincipal Investigator

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AOKI Takashi 青木貴史

青木貴史アオキタカシ