Takeuchi Shingo 竹内慎吾

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TAKEUCHI Shingo 竹内慎吾

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Researcher Number	00333021
Other IDs	https://orcid.org/0000-0003-3053-468X
Affiliation (Current)	2025: 芝浦工業大学, システム理工学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 芝浦工業大学, システム理工学部, 教授 2013 – 2015: 芝浦工業大学, システム理工学部, 准教授 2012: 芝浦工業大学, システム工学部, 准教授 2011: 芝浦工業大学, システム理工学部, 准教授 2008 – 2010: Kogakuin University, 工学部, 准教授 … More 2003 – 2005: 工学院大学, 工学部, 専任講師 2003 – 2005: 工学院大学, 工学部, 講師 2001 – 2002: 学習院大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Global analysis Except Principal Investigator Global analysis / Mathematical analysis / Basic analysis / Global analysis
Keywords	Principal Investigator p-Laplacian / 一般化三角関数 / 一般化ヤコビ楕円関数 / 非線形拡散 / 加法公式 / 倍角公式 / 一般化双曲線関数 / ｐラプラシアン / 一般化楕円積分 / 退化特異性 … More / ヤコビ楕円関数 / 解析学 / 退化 / 力学系 / 退化放物型方程式 / ルジャンドル関係式 / ウォリス型積分公式 / 積分公式 / 非局所境界値問題 / リャプノフ不等式 / レッドヘッファー不等式 / レム二スケート関数 / 不等式 / 双対性 / 一般化完全楕円積分 / 固有値問題 / 特殊関数 / 基底 / 退化特異 / 楕円積分 / 超幾何関数 / Legendreの関係式 / 算術幾何平均 / 完全楕円積分 / pラプラス作用素 / p-Lalacian / 非線形偏微分方程式 / 関数方程式論 / 特異 / 偏微分方程式 / 分岐 / 自由境界問題 / 非線形 / 特異性 / 退化性 / 自由境界 / 微分方程式 / 非線形現象 / 複素ギンツブルグ・ランダウ方程式 / 大域アトラクター / 反応拡散方程式 / 定常解 / flat core / 退化楕円型方程式 / 線型化 / アトラクター / 放物型方程式 / ギンツブルグ・ランダウ方程式 / 大域的アトラクター / 力学系理論 … More Except Principal Investigator 正値定常解 / 非線形拡散 / 反応拡散方程式 / 数理生態学 / 非線形現象 / 反応拡散 / cross-diffusion / 大域解 / 自由境界問題 / 安定性 / 関数解析 / 偏微分方程式 / 解の漸近挙動 / 変分法 / 異常拡散 / 発展方程式 / 非線形解析 / Morse index / prey-predator model / stability / steady-state solution / spike / internal transition layer / quasilinear diffusion / reaction-diffusion / prey-predator / Morse指数 / prey-pradatorモデル / 定常解 / スパイク / 内部遷移層 / 準線形拡散 / path integrals / WKB-method / Quantum mechanics / Selfajoint operator / Stationary phase / Schrodinger equation / Oscillatory integrals / Feynman path integrals / Scridinger方程式 / Statuinary phase method / WKB法 / EKB法 / Scrodinger方程式 / 量子力学 / Stationary phase method / 停留位相法 / 経路積分 / Feynman path integral / Feynman経路積分 / positive stationary solution / Lotka-Volterra type / global solution / nonlinear diffusion / reaction-diffusion equation / 解の多重性 / 分岐 / Shigesadaモデル / 大域的存在 / Lotka-Volterra型 / 非局所問題 / 大域的漸近安定性 / 漸近挙動 / ロジスティック方程式 / 非局所項 / 侵入モデル / 人口モデル / 分理論 / Lotka-Volterra型競合モデル / 分岐理論 / 写像度理論 Less

ｐラプラシアンの固有値問題と関連する楕円積分の研究Principal Investigator
- Principal Investigator
  
  竹内慎吾
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shibaura Institute of Technology
Study on eigenvalue problems of the p-Laplacian and related elliptic integralsPrincipal Investigator
- Principal Investigator
  
  Takeuchi Shingo
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shibaura Institute of Technology
Research on Evolution Equations Describing Anomalous Diffusion
- Principal Investigator
  
  Akagi Goro
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Kobe University
Free boundary problems of PDEs with degeneracy-singularityPrincipal Investigator
- Principal Investigator
  
  TAKEUCHI Shingo
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Shibaura Institute of Technology
Study on reaction-diffusion equations and related free boundary problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
Free boundary problems of PDEs with degeneracy-singularity and their applicationsPrincipal Investigator
- Principal Investigator
  
  TAKEUCHI Shingo
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Shibaura Institute of Technology
  Kogakuin University
Research on the structure of solutions for nonlinear systems of reaction-diffusion equations
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
退化放物型方程式の力学系理論Principal Investigator
- Principal Investigator
  
  竹内慎吾
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Kogakuin University
Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University
退化放物型方程式の力学系理論Principal Investigator
- Principal Investigator
  
  竹内慎吾
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Gakushuin University
Research in Functional Analsys and Mathematical theory of Feynman path integrals
- Principal Investigator
  
  FUJIWARA Daisuke
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Gakushuin University
Analysis of nonlinear diffusion equations and related phase transition problems
- Principal Investigator
  
  YAMADA Yoshio
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Waseda University

[Book] 数学のとびら　関数解析 : 基本と考え方2023
- Author(s)
  竹内慎吾
- Total Pages
  304
- Publisher
  裳華房
- ISBN
  9784785312107
- Data Source
  KAKENHI-PROJECT-22K03392
[Journal Article] 一般化シンク関数とノルムの漸近展開2023
- Author(s)
  Houry Melkonian、竹内慎吾
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2244 Pages: 21-34
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03392
[Journal Article] Applications of a duality between generalized trigonometric and hyperbolic functions II2022
- Author(s)
  Miyakawa Hiroki、Takeuchi Shingo
- Journal Title
  
  Journal of Mathematical Inequalities
  
  Volume: 16 Issue: 4 Pages: 1571-1585
- DOI
  10.7153/jmi-2022-16-102
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03392
[Journal Article] Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p -Laplacian2021
- Author(s)
  Takeuchi Shingo、Watanabe Kohtaro
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 34 Pages: 383-399
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Redheffer-type inequalities for generalized trigonometric functions2021
- Author(s)
  Ozawa Shimpei、Takeuchi Shingo
- Journal Title
  
  Journal of Inequalities and Special Functions
  
  Volume: 12 Pages: 16-22
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Remarkable properties of the sinc, functions and related integrals2021
- Author(s)
  Melkonian Houry、Takeuchi Shingo
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 499 Issue: 1 Pages: 124981-124981
- DOI
  10.1016/j.jmaa.2021.124981
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Some double-angle formulas related to a generalized lemniscate function2021
- Author(s)
  Takeuchi Shingo
- Journal Title
  
  The Ramanujan Journal
  
  Volume: 56 Issue: 2 Pages: 753-761
- DOI
  10.1007/s11139-021-00395-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Applications of a duality between generalized trigonometric and hyperbolic functions2021
- Author(s)
  Miyakawa Hiroki、Takeuchi Shingo
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 502 Issue: 1 Pages: 125241-125241
- DOI
  10.1016/j.jmaa.2021.125241
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Two double-angle formulas of generalized trigonometric functions2020
- Author(s)
  Sato Shota、Takeuchi Shingo
- Journal Title
  
  Journal of Approximation Theory
  
  Volume: 250 Pages: 105322-105322
- DOI
  10.1016/j.jat.2019.105322
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Applications of generalized trigonometric functions with two parameters2019
- Author(s)
  Kobayashi Hiroyuki、Takeuchi Shingo
- Journal Title
  
  Communications on Pure & Applied Analysis
  
  Volume: 18 Issue: 3 Pages: 1509-1521
- DOI
  10.3934/cpaa.2019072
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Applications of generalized trigonometric functions with two parameters II2019
- Author(s)
  Takeuchi Shingo
- Journal Title
  
  Differential Equations & Applications
  
  Volume: 11 Issue: 4 Pages: 563-575
- DOI
  10.7153/dea-2019-11-28
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Complete $p$-elliptic integrals and a computation formula of $\pi _p$ for $p=4$2018
- Author(s)
  Takeuchi Shingo
- Journal Title
  
  The Ramanujan Journal
  
  Volume: 印刷中 Issue: 2 Pages: 309-321
- DOI
  10.1007/s11139-018-9993-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05336
[Journal Article] Complete (p,q)-elliptic integrals with application to a family of means2017
- Author(s)
  Toshiki Kamiya and Shingo Takeuchi
- Journal Title
  
  Journal of Classical Analysis
  
  Volume: 10 Issue: 1 Pages: 15-25
- DOI
  10.7153/jca-10-02
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] Legendre-type relations for generalized complete elliptic integrals2016
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Journal of Classical Analysis
  
  Volume: 9 Issue: 1 Pages: 35-42
- DOI
  10.7153/jca-09-04
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] A new form of the generalized complete elliptic integrals2016
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 39 Issue: 1 Pages: 202-226
- DOI
  10.2996/kmj/1458651700
- NAID
  130005475868
- ISSN
  0386-5991, 1881-5472
- Language
  English
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] The basis property of generalized Jacobian elliptic functions2014
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Communications on Pure and Applied Analysis
  
  Volume: 13 Issue: 6 Pages: 2675-2692
- DOI
  10.3934/cpaa.2014.13.2675
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] Generalized Jacobian elliptic functions2013
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  RIMS kokyuroku
  
  Volume: 1838 Pages: 71-101
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] Generalized Jacobian elliptic functions2013
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 未定
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian2012
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: Vol.385 No.1 Pages: 24-35
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian2012
- Author(s)
  S.Takeuchi
- Journal Title
  
  J.Math.Anal.Appl.
  
  Volume: 385 Issue: 1 Pages: 24-35
- DOI
  10.1016/j.jmaa.2011.06.063
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian2012
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 24-35 Pages: 385-385
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence sets in quasilinear elliptic problems of monotone type2011
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 2196-2208 Pages: 251-251
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence sets in quasilinear elliptic problems of monostable type2011
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  J. Differential Equations
  
  Volume: Vol.251 No.8 Pages: 2196-2208
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540229
[Journal Article] Coincidence sets in quasilinear elliptic problems of monostable type2011
- Author(s)
  S.Takeuchi
- Journal Title
  
  J.Differential Equations
  
  Volume: 251 Issue: 8 Pages: 2196-2208
- DOI
  10.1016/j.jde.2011.07.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] 双安定反応拡散方程式の力学系(特別講演)2010
- Author(s)
  竹内慎吾
- Journal Title
  
  第32回発展方程式若手セミナー報告集
  
  Volume: 1-15 Pages: 32-32
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] 双安定反応拡散方程式の力学系2010
- Author(s)
  竹内慎吾
- Journal Title
  
  発展方程式若手セミナー報告集 32
  
  Pages: 1-15
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] 双安定反応拡散方程式の力学系2010
- Author(s)
  竹内慎吾
- Journal Title
  
  発展方程式若手セミナー報告集
  
  Volume: 32 Pages: 1-15
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence sets in quasilinear problems of logistic type2009
- Author(s)
  竹内慎吾
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 85-103 Pages: 1640-1640
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence set associated with second order ordinary differential equations of logistic type2009
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Differential and Integral Equations
  
  Volume: 587-600 Pages: 22-22
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence set associated with second order ordinary differential equations of logistic type2009
- Author(s)
  S. Takeuchi
- Journal Title
  
  Differential and Integral Equations 22
  
  Pages: 587-600
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence sets in quasilinear problems of logistic type2009
- Author(s)
  竹内慎吾
- Journal Title
  
  京都大学数理解析研究所講究録 1640
  
  Pages: 85-103
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence set associated with second order ordinary differential equations of logistic type2009
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Differential and Integral Equations 22
  
  Pages: 587-600
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740094
[Journal Article] Coincidence sets in semilinear elliptic problems of logistic type2007
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Differential Integral Equations Vol.20
  
  Pages: 1075-1080
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Coincidence sets in semilinear elliptic problems of logistic type2007
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Differential Integral Equations 20巻
  
  Pages: 1075-1080
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540223
[Journal Article] Stationary profiles of degenerate problems with inhomogeneous saturation values2005
- Author(s)
  S.Takeuchi
- Journal Title
  
  Nonlinear Analysis, Theory, Methods & Applications 63
  
  Pages: 1009-1016
- Data Source
  KAKENHI-PROJECT-15740110
[Journal Article] Complex Ginzburg-Landau type equations with nonlinear Laplacian2004
- Author(s)
  S.Takeuchi, H.Asakawa, T.Yokota
- Journal Title
  
  Nonlinear Partial Differential Equations and Their Applications (GAKUTO International Series) 20
  
  Pages: 315-332
- Data Source
  KAKENHI-PROJECT-15740110
[Journal Article] Global attractor for a class of degenerate diffusion equations2003
- Author(s)
  竹内慎吾, 横田智巳
- Journal Title
  
  Electron Journal of Differential Equations 2003,76号
  
  Pages: 1-13
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Global attractors for a class of degenerate diffusion equations2003
- Author(s)
  Shingo Takeuchi, Tomomi Yokota
- Journal Title
  
  Electron Journal of Differential Equations No.76
  
  Pages: 1-13
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540216
[Journal Article] Stationary profiles of degenerate problems with inhomogeneous saturation values
- Author(s)
  S.Takeuchi
- Journal Title
  
  Nonlinear Analysis, Theory, Methods & Applications
- Data Source
  KAKENHI-PROJECT-15740110
[Journal Article] Coincidence sets in quasilinear problems of logistic type
- Author(s)
  竹内慎吾
- Journal Title
  
  京都大学数理解析研究所講究録に掲載予定
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] 1次元 p-Laplacian の固有関数がもつ双対性とその応用2024
- Author(s)
  竹内慎吾
- Organizer
  RIMS共同研究（グループ型A）「非線形問題における精密解析」
- Data Source
  KAKENHI-PROJECT-22K03392
[Presentation] 1次元 p-Laplacian の固有関数がもつ双対性2024
- Author(s)
  竹内慎吾
- Organizer
  新潟駅前応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03392
[Presentation] 一般化シンク関数とノルムの漸近展開2023
- Author(s)
  Houry Melkonian、竹内慎吾
- Organizer
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22K03392
[Presentation] Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p -Laplacian2021
- Author(s)
  竹内慎吾, 渡辺宏太郎
- Organizer
  RIMS共同研究（グループ型）「非線形問題への常微分方程式の手法によるアプローチ」, 於京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] １次元 p-Laplacian の固有関数がもつ双対性とその応用2021
- Author(s)
  宮川裕樹, 竹内慎吾
- Organizer
  RIMS共同研究（公開型）「発展方程式の広がり：理論的基礎から実践的応用まで」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 一般化三角・双曲線関数の双対性とその応用2021
- Author(s)
  宮川裕樹, 竹内慎吾
- Organizer
  オンラインによる微分方程式セミナー（通算第43回）
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Exact solutions and asymmetry for a nonlocal boundary value problem2019
- Author(s)
  竹内慎吾
- Organizer
  RIMS共同研究（グループ型）「微分方程式の手法による非線形問題の探求」
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Exact solutions and asymmetry for a nonlocal boundary value problem2019
- Author(s)
  竹内慎吾
- Organizer
  第11回名古屋微分方程式研究集
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] ある非局所境界値問題の厳密解と非対称性2019
- Author(s)
  竹内慎吾
- Organizer
  日本数学会年会
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] L^q-Lyapunov inequality for the one-dimensional p-Laplacian2019
- Author(s)
  竹内慎吾
- Organizer
  東北大学応用数理解析セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 一般化三角関数に対する Redheffer 型不等式2019
- Author(s)
  小沢新平, 竹内慎吾
- Organizer
  第6回ODE若手セミナー
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] １次元 p-Laplacian の固有関数の２倍角公式2019
- Author(s)
  竹内慎吾
- Organizer
  愛媛大学における微分方程式セミナー（通算第42回）
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Generalization of the trigonometric functions2018
- Author(s)
  S. Takeuchi
- Organizer
  The 2nd SIT-UOG workshop on pure/applied mathematics and computer science
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Applications of generalized trigonometric functions to nonlocal boundary value problems2018
- Author(s)
  竹内慎吾
- Organizer
  RIMS共同研究（グループ型）「非線形問題への常微分方程式の手法によるアプローチ」, 於京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Integral formulas of generalized trigonometric functions with two parameters2018
- Author(s)
  H. Kobayashi, S. Takeuchi
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2018)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Applications of generalized trigonometric functions to nonlocal boundary value problems2018
- Author(s)
  S. Takeuchi
- Organizer
  The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2018)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] ある1次元非局所境界値問題の厳密解と非対称性2018
- Author(s)
  竹内慎吾
- Organizer
  第48回南大阪応用数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] $L^q$-Lyapunov inequality for the one-dimensional $p$-Laplacian2018
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 不完全楕円積分に関するルジャンドルの関係式とその一般化2018
- Author(s)
  竹内慎吾
- Organizer
  第19回半田山微分方程式セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 一般化三角関数の非局所境界値問題への応用2018
- Author(s)
  竹内慎吾
- Organizer
  日本数学会年会, 於東京大学
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] $L^q$-Lyapunov inequality for the one-dimensional $p$-Laplacian2018
- Author(s)
  竹内慎吾
- Organizer
  芝浦工業大学における微分方程式セミナー（通算第41回）
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] $p$-Laplacian の固有関数による完全楕円積分の一般化2018
- Author(s)
  竹内慎吾
- Organizer
  Nonlinear Evolutionary PDEs and their Equilibrium States II
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 1次元$p$ラプラシアンの固有関数に関する数論的性質2018
- Author(s)
  竹内慎吾
- Organizer
  第1回「解析学とその周辺」＠野田
- Invited
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 一般化正接関数の倍角公式2018
- Author(s)
  佐藤翔太, 竹内慎吾
- Organizer
  第5回ODE若手セミナー
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 1次元pラプラシアンの固有関数に関する数論的性質2017
- Author(s)
  竹内慎吾
- Organizer
  九州関数方程式セミナー
- Place of Presentation
  福岡大学
- Year and Date
  2017-01-27
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] ヒット現象に現れるリッカチ型方程式の厳密解2017
- Author(s)
  福田陸斗, 竹内慎吾
- Organizer
  第4回ODE若手セミナー, 於大阪府立大学
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] Legendre's relation for incomplete elliptic integrals and its generalization2017
- Author(s)
  Shingo Takeuchi
- Organizer
  Workshop on Geometric Function Theory and Special Functions II, Tohoku University, Sendai, Japan
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05336
[Presentation] 一般化三角関数に対する積分公式2017
- Author(s)
  小林佑行、竹内慎吾
- Organizer
  微分方程式論ワークショップ岐阜2017
- Place of Presentation
  岐阜大学
- Year and Date
  2017-03-09
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Generalized trigonometric functions: multiple-angle formulas and an application to Elliott's identity2016
- Author(s)
  Shingo Takeuchi
- Organizer
  Workshop on Geometric Function Theory and Special Functions
- Place of Presentation
  Tohoku University
- Year and Date
  2016-08-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Arithmetic properties of eigenfunctions of the one-dimensional p-Laplacian2016
- Author(s)
  Shingo Takeuchi
- Organizer
  Qualitative Theory of Ordinary Differential Equations and Related Areas
- Place of Presentation
  RIMS
- Year and Date
  2016-11-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Arithmetic properties of eigenfunctions of the one-dimensional p-Laplacian2016
- Author(s)
  Shingo Takeuchi
- Organizer
  International Workshop on Nonlinear PDEs 2016 in Osaka
- Place of Presentation
  Osaka Prefecture University
- Year and Date
  2016-12-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 未定2016
- Author(s)
  竹内慎吾
- Organizer
  常微分方程式の定性的理論ワークショップ
- Place of Presentation
  島根大学
- Year and Date
  2016-09-22
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化三角関数の倍角公式と p-Laplacian への応用2016
- Author(s)
  竹内慎吾
- Organizer
  日本数学会年会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化三角関数に対する積分公式2016
- Author(s)
  小林佑行、竹内慎吾
- Organizer
  第3回ODE若手セミナー
- Place of Presentation
  岡山理科大学
- Year and Date
  2016-12-15
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Application of generalized trigonometric functions to Elliott's identity2016
- Author(s)
  竹内慎吾
- Organizer
  常微分方程式の定性的理論ワークショップ
- Place of Presentation
  島根大学
- Year and Date
  2016-09-22
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化三角関数に対するMitrinovic-Adamovic不等式2016
- Author(s)
  大場孝則、竹内慎吾
- Organizer
  第3回ODE若手セミナー
- Place of Presentation
  岡山理科大学
- Year and Date
  2016-12-15
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Multiple-angle formulas of generalized trigonometric functions with two parameters2016
- Author(s)
  Shingo Takeuchi
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
- Place of Presentation
  Orlando, Florida, USA
- Year and Date
  2016-07-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Multiple-angle formula of generalized trigonometric functions with two parameters2016
- Author(s)
  Shingo Takeuchi
- Organizer
  The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2016)
- Place of Presentation
  Orlando
- Year and Date
  2016-07-02
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Multiple-angle formula of generalized trigonometric functions with two parameters2015
- Author(s)
  Shingo Takeuchi
- Organizer
  3rd Chile-Japan Workshop on Nonlinear PDEs
- Place of Presentation
  Osaka University
- Year and Date
  2015-12-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 完全(p,q)楕円積分とBhatia-Li平均への応用2015
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Means and generalized trigonometric functions2015
- Author(s)
  Shingo Takeuchi
- Organizer
  Nonlinear PDE Workshop at Tohoku University
- Place of Presentation
  Tohoku University
- Year and Date
  2015-09-24
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] Applications of generalized trigonometric functions to means2015
- Author(s)
  竹内慎吾
- Organizer
  第133回神楽坂解析セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2015-06-27
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化三角関数の倍角公式とある種のp単振り子方程式2015
- Author(s)
  竹内慎吾
- Organizer
  第38回名古屋大学における微分方程式セミナー
- Place of Presentation
  名古屋大学
- Year and Date
  2015-09-08
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 1次元p-Laplacianの固有関数による完全楕円積分の一般化とその関係式について2015
- Author(s)
  神谷隼基、竹内慎吾
- Organizer
  第41回発展方程式研究会
- Place of Presentation
  日本女子大学
- Year and Date
  2015-12-25
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 完全p楕円積分と$\pi_3$の計算公式2014
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  広島大学
- Year and Date
  2014-09-25
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 完全p楕円積分と$\pi_3$の計算公式2014
- Author(s)
  竹内慎吾
- Organizer
  第37回熊本大学における微分方程式セミナー
- Place of Presentation
  熊本大学
- Year and Date
  2014-09-09
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] The basis property of generalized Jacobian elliptic functions2014
- Author(s)
  Shingo Takeuchi
- Organizer
  The 10th AIMS International Conference on Dynamical Systems and Differential Equations and Applications (AIMS2014)
- Place of Presentation
  Madrid, SPAIN
- Year and Date
  2014-07-08
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] The basis property of generalized Jacobian elliptic functions2014
- Author(s)
  Shingo Takeuchi
- Organizer
  AIMS2014
- Place of Presentation
  Madrid, Spain
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化ヤコビ楕円関数とその応用2012
- Author(s)
  竹内慎吾
- Organizer
  第100回神楽坂解析セミナー
- Place of Presentation
  東京理科大学
- Year and Date
  2012-01-28
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] Generalized Jacobian elliptic functions with applications to p-Laplacian bistable problems2012
- Author(s)
  Shingo Takeuchi
- Organizer
  研究集会「常微分方程式の大域的定性理論とその応用」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] On a generalized Jacobian elliptic function associated with p-Laplacian2012
- Author(s)
  Shingo Takeuchi
- Organizer
  The 9th AIMS International Conference on Dynamical Systems and Differential Equations and Applications (AIMS2012)
- Place of Presentation
  Orlando, Florida, USA
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] ヤコビの楕円関数の一般化とp-Laplacianの分岐問題への応用2011
- Author(s)
  竹内慎吾
- Organizer
  松山解析セミナー2011
- Place of Presentation
  愛媛大学
- Year and Date
  2011-02-04
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] A generalized Jacobian elliptic functions and its application to p-Laplacian bifurcation problems2011
- Author(s)
  Shingo Takeuchi
- Organizer
  2011 International Workshop on NLPDE and Applications
- Place of Presentation
  Pusan National University
- Year and Date
  2011-06-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] A generalized Jacobian elliptic functions and its application to p-Laplacian bifurcation problems2011
- Author(s)
  S.Takeuchi
- Organizer
  2011 International Workshop on Nonlinear PDE and Applications
- Place of Presentation
  Pusan National University
- Year and Date
  2011-06-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] 双安定反応拡散方程式の力学系2010
- Author(s)
  竹内慎吾
- Organizer
  第32回発展方程式若手セミナー
- Place of Presentation
  伊豆長岡「えふでの宿」
- Year and Date
  2010-08-29
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] Generalized elliptic functions and their application to a p-Laplacian bifurcation problem2010
- Author(s)
  竹内慎吾
- Organizer
  広島微分方程式研究会
- Place of Presentation
  広島大学
- Year and Date
  2010-10-09
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] ヤコビの楕円関数の一般化と非線形固有値問題への応用2010
- Author(s)
  竹内慎吾
- Organizer
  第4回非線型偏微分方程式と変分問題
- Place of Presentation
  首都大学東京
- Year and Date
  2010-02-14
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] ヤコビの楕円関数の一般化とp-Laplacianの分岐問題への応用2010
- Author(s)
  竹内慎吾
- Organizer
  第10回盛岡応用数学小研究集会
- Place of Presentation
  岩手大学
- Year and Date
  2010-11-07
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] 双安定反応拡散方程式の力学系(特別講演)2010
- Author(s)
  竹内慎吾
- Organizer
  第32回発展方程式若手セミナー
- Place of Presentation
  伊豆長岡
- Year and Date
  2010-08-29
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] ヤコビの楕円関数の一般化と双安定準線形方程式への応用2010
- Author(s)
  竹内慎吾
- Organizer
  日本数学会年会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] 準線形楕円型方程式の境界値問題に現れる一致集合2010
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] 双安定反応拡散方程式の力学系2010
- Author(s)
  竹内慎吾
- Organizer
  第32回発展方程式若手セミナー
- Place of Presentation
  伊豆長岡(特別講演)
- Year and Date
  2010-08-29
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] p-Laplacianの自由境界問題(函数方程式論分科会特別講演)2009
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] p-Laplacian の自由境界問題2009
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学(特別講演)
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] p-Laplacianの自由境界問題(特別講演)2009
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] Coincidence sets in quasilinear problems of logistic type2008
- Author(s)
  S. Takeuchi
- Organizer
  仙台楕円型・放物型微分方程式研究集会
- Place of Presentation
  東北大学
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] 準線形常微分方程式に対する一致集合2008
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-24
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] Coincidence sets in quasilinear problems of logistic type2008
- Author(s)
  竹内慎吾
- Organizer
  非線形発展方程式と現象の数理
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-11-18
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] On the singular perturbation in a quasilinear Dirichlet problem2008
- Author(s)
  竹内慎吾
- Organizer
  第6回浜松偏微分方程式研究集会
- Place of Presentation
  静岡大学
- Year and Date
  2008-12-23
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] Coincidence sets in quasilinear problems of logistic type2008
- Author(s)
  Shingo Takeuchi
- Organizer
  Sendai Elliptic-Parabolic PDEs Conference
- Place of Presentation
  東北大学
- Year and Date
  2008-11-08
- Data Source
  KAKENHI-PROJECT-20740094
[Presentation] TBA
- Author(s)
  Shingo Takeuchi
- Organizer
  Workshop (with Professor Lindqvist)
- Place of Presentation
  Tohoku University
- Year and Date
  2015-09-24 – 2015-09-25
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化ヤコビ楕円関数系に関する基底の問題
- Author(s)
  竹内慎吾
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] 一般化ヤコビ楕円関数とp-ラプラシアン
- Author(s)
  竹内慎吾
- Organizer
  第6回なかもず解析セミナー
- Place of Presentation
  大阪府立大学
- Invited
- Data Source
  KAKENHI-PROJECT-24540218
[Presentation] TBA
- Author(s)
  Shingo Takeuchi
- Organizer
  3rd Chile-Japan Workshop on Nonlinear PDEs
- Place of Presentation
  Osaka University
- Year and Date
  2015-12-08 – 2015-12-11
- Invited
- Data Source
  KAKENHI-PROJECT-24540218

1. OTANI Mitsuharu (30119656)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. NAKASHIMA Kimie (10318800)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. YAMADA Yoshio (20111825)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. KUTO Kousuke (40386602)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. WAKASA Tohru (20454069)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. OHYA Hirokazu (70409647)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. SATO Norihiro (80454023)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. HIROSE Munemitsu (50287984)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. OEDA Kazuhiro (70580364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. FUJIWARA Daisuke (10011561)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. KATASE Kiyoshi (70080489)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MIZUTANI Akira (80011716)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KURODA Shigetoshi (20011463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. WATANABE Kazuo (90260851)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. Akagi Goro (60360202)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. Shirakawa Ken (50349809)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. Ueda Yoshihiro (50534856)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. Ishiwata Tetsuya (50334917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 菱田俊明 (60257243)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KANEKO Yuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Takeuchi Shingo 竹内 慎吾

TAKEUCHI Shingo 竹内 慎吾

Research Projects

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Co-Researchers

ｐラプラシアンの固有値問題と関連する楕円積分の研究Principal Investigator

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Study on eigenvalue problems of the p-Laplacian and related elliptic integralsPrincipal Investigator

Principal Investigator

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Research on Evolution Equations Describing Anomalous Diffusion

Principal Investigator

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Free boundary problems of PDEs with degeneracy-singularityPrincipal Investigator

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Study on reaction-diffusion equations and related free boundary problems

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Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems

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Free boundary problems of PDEs with degeneracy-singularity and their applicationsPrincipal Investigator

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Research on the structure of solutions for nonlinear systems of reaction-diffusion equations

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退化放物型方程式の力学系理論Principal Investigator

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Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations

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退化放物型方程式の力学系理論Principal Investigator

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Research in Functional Analsys and Mathematical theory of Feynman path integrals

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Analysis of nonlinear diffusion equations and related phase transition problems

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Takeuchi Shingo 竹内慎吾

TAKEUCHI Shingo 竹内慎吾

[Book] 数学のとびら　関数解析 : 基本と考え方2023