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ITO Masahiko  伊藤 雅彦

ORCIDConnect your ORCID iD *help
… Alternative Names

伊藤 雅彦  イトウ マサヒコ

ITOU Masahiko  伊藤 雅彦

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Researcher Number 30348461
Other IDs
External Links
Affiliation (Current) 2025: 琉球大学, 理学部, 教授
Affiliation (based on the past Project Information) *help 2017 – 2023: 琉球大学, 理学部, 教授
2013 – 2016: 東京電機大学, 未来科学部, 教授
2012: 東京電機大学, 公私立大学の部局等, 准教授
2009 – 2012: Tokyo Denki University, 未来科学部, 准教授
2007: Aoyama Gakuin University, College of Science and Engineering, Associate Professor
2002 – 2006: 青山学院大学, 理工学部, 助教授
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / Algebra / Basic analysis / Global analysis
Except Principal Investigator
Algebra / Basic analysis / Algebra / Global analysis
Keywords
Principal Investigator
補間関数 / ワイル群 / ルート系 / 楕円ガンマ関数 / 楕円超幾何関数 / ジャクソン積分 / 多変数超幾何関数 / セルバーグ積分 / q-差分方程式 / Jackson integrals … More / 接続公式 / ワイル群対称性 / 楕円超幾何積分 / マクドナルド多項式 / q差分方程式 / q-ガンマ関数 / q-超幾何関数 / 例外型ルート系 / G2型 / BC型 / ヘッセ行列式 / 超球面配置 / 超幾何積分 / Lagrange補間関数 / invariant polynomials of type F4 / Vandermonde-type determinant / connection formula / basic hypergeometric series / q-difference system / Weyl group / カロジェロ模型 / ホロノミックq-差分方程式 / 対称式 / 複素簡約型リー群 / Kazhdan-Lusztig多項式 / F4型ワイル群不変式 / ファンデルモンド型行列式 / q超幾何関数 / commuting differential operators / Calogero model / elliptic theta functions / asymptotic behavior / Weyl group symmetry / 楕円データ関数 / 可換微分作用素系 / カロジェロモデル / 楕円テータ関数 / 漸近展開 / シルベスター行列式 / 既約指標 / Dixon-Anderson 積分 / Askey-Wilson 積分 / Gustafson-Rakha の和公式 / Sears-Slater 変換 / 楕円超幾何級数 / G2型Weyl群 / Macdonald定数項恒等式 / マクドナルド定数項恒等式 / 差分方程式系 / 楕円補間関数 / 楕円セルバーグ積分 / セルバーグ型積分 / 隣接関係式 / 超幾何級数 / テータ関数 / 差分方程式 … More
Except Principal Investigator
ジャクソン積分 / Weyl groups / Jackson integrals / ワイル群 / 古典群 / classical groups / representation theor / combinatoics / algebra / ヘッケ環 / 対称式 / 組み合せ論 / 表現論 / 組合せ論 / 代数学 / Calogero models / commuting differential operators / ワイル群の不変式 / カロジェロ模型 / 可換微分作用素系 / Macdonald identity / Ramanujan / Young diagrams / Brauer centralizer alegebras / Spin groups / Classical groups / マクドナルドの恒等式 / ラマヌジャン / ヤング図形 / ブラウア中心化環 / スピン群 / Baker-Forrester constant / Baker-Forrester constant term conjecture / double affine Hecke algebra / constant term conjecture / Selberg integral / orthogonal polynomial / Koornwinder polynomial / Dyson-Mehta 積分公式 / Baker-Forrester 定数項予想 / 直交多項式 / Koornwinder 多項式 / Calogero 模型 / q-超幾何関数 / q-差分方程式 / Whittaker模型 / Calogero模型 / 可換微分作用素 Less
  • Research Projects

    (11 results)
  • Research Products

    (175 results)
  • Co-Researchers

    (12 People)
  •  ワイル群不変な有理・三角・楕円多変数超幾何関数の差分方程式系Principal Investigator

    • Principal Investigator
      伊藤 雅彦
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      University of the Ryukyus
  •  Study on Weyl group invariant multivariate elliptic hypergeometric functionsPrincipal Investigator

    • Principal Investigator
      Ito Masahiko
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      University of the Ryukyus
  •  Research on the difference systems associated with multivariable elliptic hypergeometric functions with Weyl group symmetryPrincipal Investigator

    • Principal Investigator
      ITO Masahiko
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      University of the Ryukyus
      Tokyo Denki University
  •  Koornwinder polynomials and its application

    • Principal Investigator
      KANEKO Jyouichi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      University of the Ryukyus
  •  ワイル群不変なジャクソン積分のq差分系とその応用Principal Investigator

    • Principal Investigator
      伊藤 雅彦
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Denki University
  •  Construction and classification of systems of multi-variable commutative differential operators

    • Principal Investigator
      TANIGUCHI Kenji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Aoyama Gakuin University
  •  Study on representation theory of the classical groups and their related combinatorics

    • Principal Investigator
      KOIKE Kazuhiko
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  Research on the holonomic q difference systems associated with the Jackson integrals of Weyl group invariantPrincipal Investigator

    • Principal Investigator
      ITO Masahiko
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  The study of infinite product formulae for the Jackson integrals with Weyl group symmetry and their applications.Principal Investigator

    • Principal Investigator
      ITO Masahiko
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Aoyama Gakuin University
  •  Geometric invariants of representations and the Whittaker models

    • Principal Investigator
      TANIGUCHI Kenji
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Aoyama Gakuin University
  •  Representation Theory, Combinatorics and Related Topics

    • Principal Investigator
      KOIKE Kazuhiko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      AOYAMA GAKUIN UNIVERSITY

All 2023 2022 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2003 Other

All Journal Article Presentation

  • [Journal Article] GAUSS DECOMPOSITION AND q-DIFFERENCE EQUATIONS FOR JACKSON INTEGRALS OF SYMMETRIC SELBERG TYPE2023

    • Author(s)
      Masahiko Ito
    • Journal Title

      Ryukyu Mathematical Journal

      Volume: 36 Pages: 1-47

    • DOI

      10.24564/0002020146

    • ISSN
      2434-6071
    • URL

      https://u-ryukyu.repo.nii.ac.jp/records/2020146

    • Year and Date
      2023-12-28
    • Language
      English
    • Open Access
    • Data Source
      KAKENHI-PROJECT-23K03153
  • [Journal Article] Product of Hessians and Discriminant of Critical Points of Level Function for Hypergeometric Integrals2022

    • Author(s)
      Kazuhiko Aomoto,Masahiko Ito
    • Journal Title

      Proceedings of Science

      Volume: 383 Pages: 009-009

    • DOI

      10.22323/1.383.0009

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Journal Article] Product of Hessians and Discriminant of Critical Points of Level Function Attached to Sphere Arrangement2022

    • Author(s)
      Kazuhiko Aomoto,Masahiko Ito
    • Journal Title

      symmetry

      Volume: 14 Issue: 2 Pages: 374-374

    • DOI

      10.3390/sym14020374

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Journal Article] q-Difference Systems for the Jackson Integral of Symmetric Selberg Type2020

    • Author(s)
      Masahiko Ito
    • Journal Title

      SIGMA Symmetry Integrability Geom. Methods Appl.

      Volume: 16 Pages: 113-113

    • DOI

      10.3842/sigma.2020.113

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Journal Article] Elliptic extension of Gustafson's q-integral of type G22020

    • Author(s)
      Masahiko Ito, Masatoshi Noumi
    • Journal Title

      Advances in Mathematics

      Volume: 370 Pages: 107211-107211

    • DOI

      10.1016/j.aim.2020.107211

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03339, KAKENHI-PROJECT-17H06127
  • [Journal Article] q-Difference equations for q-hypergeometric integrals of type G22020

    • Author(s)
      Masahiko Ito, Yamato Takushi
    • Journal Title

      Ryukyu Mathematical Journal

      Volume: 33

    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Journal Article] A determinant formula associated with the elliptic hypergeometric integrals of type BCn2019

    • Author(s)
      Ito Masahiko、Noumi Masatoshi
    • Journal Title

      Journal of Mathematical Physics

      Volume: 60 Issue: 7 Pages: 071705-071705

    • DOI

      10.1063/1.5094116

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-16K05057, KAKENHI-PROJECT-18K03339, KAKENHI-PROJECT-15H03626
  • [Journal Article] Connection formula for the Jackson integral of type An and elliptic Lagrange interpolation2018

    • Author(s)
      Masahiko Ito, Masatoshi Noumi
    • Journal Title

      SIGMA Symmetry Integrability Geom. Methods Appl.

      Volume: 14

    • DOI

      10.3842/sigma.2018.077

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K03339, KAKENHI-PROJECT-17H06127
  • [Journal Article] 楕円超幾何積分と楕円補間函数 -- q Selberg 積分から楕円 Selberg 積分へ --2018

    • Author(s)
      伊藤雅彦 野海正俊
    • Journal Title

      数理解析研究所講究録

      Volume: 2071

    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Journal Article] Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants2017

    • Author(s)
      M. Ito, M. Noumi
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 145 Issue: 2 Pages: 689-703

    • DOI

      10.1090/proc/13234

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-16K05057, KAKENHI-PROJECT-25400118, KAKENHI-PROJECT-15K04903, KAKENHI-PROJECT-15H03626
  • [Journal Article] A bilateral extension of the q-Selberg integral2017

    • Author(s)
      Masahiko Ito, Peter J. Forrester
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 369 Issue: 4 Pages: 2843-2878

    • DOI

      10.1090/tran/6851

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Journal Article] A generalization of the Sears--Slater transformation and elliptic Lagrange interpolation of type $BC_n$2016

    • Author(s)
      M. Ito, M. Noumi
    • Journal Title

      Adv. in Math.

      Volume: 229 Pages: 361-380

    • DOI

      10.1016/j.aim.2016.05.016

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-15H03626, KAKENHI-PROJECT-15K04903, KAKENHI-PROJECT-16K05057, KAKENHI-PROJECT-25400118
  • [Journal Article] Derivation of a BCn elliptic summation formmula via the fundamental invariants2016

    • Author(s)
      M. Ito and M. Noumi
    • Journal Title

      Constr. Approx.

      Volume: 未定 Issue: 1 Pages: 33-46

    • DOI

      10.1007/s00365-016-9340-8

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03626, KAKENHI-PROJECT-24224001, KAKENHI-PROJECT-16K05057, KAKENHI-PROJECT-25400118
  • [Journal Article] The q-Dixon-Anderson integral and multi-dimensional 1ψ1 summations2015

    • Author(s)
      Masahiko Ito, Peter J. Forrester
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 423 Issue: 2 Pages: 1704-1737

    • DOI

      10.1016/j.jmaa.2014.10.034

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Journal Article] On a family of integrals that extend the Askey-Wilson integral2015

    • Author(s)
      Masahiko Ito, N.S. Witte
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 421 Issue: 2 Pages: 1101-1130

    • DOI

      10.1016/j.jmaa.2014.07.056

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Journal Article] Ramanujan's 1ψ1 summation theorem ―perspective, announcement of bilateral q-Dixon-Anderson and q-Selberg integral extensions, and context―2014

    • Author(s)
      Masahiko Ito, Peter J. Forrester
    • Journal Title

      Proceedings of the Japan Academy, Series A, Mathematical Sciences

      Volume: 90 Issue: 7

    • DOI

      10.3792/pjaa.90.92

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Journal Article] A compound determinant identity for rectangular matrices and determinants of Schur functions2013

    • Author(s)
      M. Ishikawa, M. Ito, and S. Okada
    • Journal Title

      Advances in Applied Mathematics

      Volume: 51 Issue: 5 Pages: 635-654

    • DOI

      10.1016/j.aam.2013.08.001

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24340003, KAKENHI-PROJECT-25400118
  • [Journal Article] An Application of Cauchy-Sylvester's Theorem on Compound Determinants to a BC n-Type Jackson Integral2012

    • Author(s)
      Masahiko Ito
    • Journal Title

      Developments in Mathematics

      Volume: 23 Pages: 145-157

    • DOI

      10.1007/978-1-4614-0028-8_10

    • ISBN
      9781461400271, 9781461400288
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Journal Article] Three-term relations between interpolation polynomials for a BCn-type basic hypergeometric series2011

    • Author(s)
      Masahiko Ito
    • Journal Title

      Advances in Mathematics

      Volume: 226 Pages: 4096-4130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Journal Article] Three-term relationsbetween interpolation polynomials fora BC_n basic hypergeometric series2011

    • Author(s)
      Ito, Masahiko
    • Journal Title

      Advances in Mathematics 226

      Pages: 4096-4130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Three term relations between interpolation polynomials for a BC_n-type basic hypergeometric series2011

    • Author(s)
      Ito, Masahiko
    • Journal Title

      Advances in Mathematics

      Volume: 226 Pages: 4096-4130

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] An application of Cauchy-Sylvester's theorem on compound determinants to a BC_n-type Jackson integral2010

    • Author(s)
      Ito, Masahiko ; Okada, Soichi
    • Journal Title

      Proceedings of the Conference on Partitions, q-Series and Modular Forms (掲載決定,印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Difference system for Selberg correlation integrals2010

    • Author(s)
      Forrester, Peter J.; Ito, Masahiko
    • Journal Title

      J.Phys.A : Math.Theor. Vol 43 No 43

      Pages: 175-202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Bailey type summation formulas associated with the root system G_2^¥vee2010

    • Author(s)
      Ito, Masahiko ; Tsubouchi, Asako
    • Journal Title

      Ramanujan Journal

      Volume: 22 Pages: 231-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Difference system for Selberg correlation integrals2010

    • Author(s)
      Masahiko Ito
    • Journal Title

      Journal of Physics A : Mathematical and Theoretical

      Volume: 43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Journal Article] Difference system for Selbergcorrelation integrals2010

    • Author(s)
      Forrester, Peter J ; Ito, Masahiko
    • Journal Title

      J. Phys. A: Math. Theor vol43 no 17

      Pages: 175202-175202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Bailey type summation formulas associated with the root system G2v2010

    • Author(s)
      Masahiko Ito
    • Journal Title

      Ramanujan Journal

      Volume: 22 Pages: 231-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Journal Article] A determinant formula for a holonomic q-difference system associated with Jackson integrals of type BC_n.2009

    • Author(s)
      Aomoto, Kazuhiko ; Ito, Masahiko
    • Journal Title

      Adv.Math 221 no.4

      Pages: 1069-1114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] A determinant formula for a holonomic q-difference system associated with Jackson integrals of type BCn2009

    • Author(s)
      K.Aomoto, M.Ito
    • Journal Title

      Advances in Mathematics 221

      Pages: 1069-1114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Journal Article] A first order q-difference system for the BC_1-type Jackson integral and its applications2009

    • Author(s)
      Ito, Masahiko
    • Journal Title

      SIGMA Symmetry Integrability Geom.Methods Appl. 5

      Pages: 41-41

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] A first order q-difference system for the BC1-type Jackson integral and its applications.2009

    • Author(s)
      Masahiko Ito
    • Journal Title

      SIGMA 5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Journal Article] Adeterminant formula for a holonomicq-difference system associated withJackson integrals of type BC_n2009

    • Author(s)
      Aomoto, Kazuhiko ; Ito, Masahiko
    • Journal Title

      Advances in Mathematics 221

      Pages: 1069-1114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] A determinant formula for a holonomic q-difference system as sociated with Jackson integrals of type BC_n2009

    • Author(s)
      Aomoto, Kazuhiko ; Ito, Masahiko
    • Journal Title

      Adv.Math. 221

      Pages: 1069-1114

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      伊藤 雅彦, 真田 ゆかり
    • Journal Title

      Ramanujan J. (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Difference Equations and Pieri Formulas for G_2 Type Macdonald Polynomials and Integrability2008

    • Author(s)
      Tan Felipe van Diejen, Masahiko Ito
    • Journal Title

      Lett Math Phys 86

      Pages: 229-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] BCn-type Jackson integral generalized from Gustafson's Cn-typesum2008

    • Author(s)
      K.Aomoto & M.Ito
    • Journal Title

      Journal of Difference Equations and Applicationsに掲載受理

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Difference Equations and PieriFormulas for G_2 Type MacdonaldPolynomials and Integrability2008

    • Author(s)
      van Diejen, Jan Felipe ; Ito, Masahiko
    • Journal Title

      Lett.Math. Phys. 86

      Pages: 229-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] BC_n-type Jackson integralgeneralized from Gustafson'sC_n-type sum2008

    • Author(s)
      Aomoto, Kazuhiko ; Ito, Masahiko
    • Journal Title

      J. Difference Equationsand Appl 14

      Pages: 1059-1097

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] On theSears-Slater basic hypergeometrictransformations2008

    • Author(s)
      Ito, Masahiko ; Sanada, Yukari
    • Journal Title

      Ramanujan J. 17

      Pages: 245-257

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] BC_n-type Jackson integral generalized from Gustafson's C_n-type sum2008

    • Author(s)
      K. Aomoto, M. Ito
    • Journal Title

      J. Difference Equations and Appl. 14

      Pages: 1059-1097

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      M.Ito & Y.Sanada
    • Journal Title

      Ramanujan Journal (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      Masahiko Ito, Yukari Sanada
    • Journal Title

      Ramanujan J. 17

      Pages: 245-257

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-poised-balanced 2rφ2r series2008

    • Author(s)
      Masahiko Ito
    • Journal Title

      The Quarterly Journal of Mathematics (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Structure of Jackson integrals of BCn type2008

    • Author(s)
      K.Aomoto & M.Ito
    • Journal Title

      Tokyo Journal of Mathematics (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-poised-balanced _<2r>φ_<2r> series2008

    • Author(s)
      伊藤 雅彦
    • Journal Title

      Quarterly Journal of Math (in press)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-poised-balanced_<2r>Φ_<2r>series2008

    • Author(s)
      Masahiko Ito
    • Journal Title

      The Quarterly Journal of Mathematics (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] BCn-type Jackson integral generalizedfrom Gustafson's Cn-type sum2008

    • Author(s)
      K.Aomoto&Masahiko Ito
    • Journal Title

      Journal of Difference Equations and Applications (accepted)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-Poised-balanced _<2r>φ_<2r> series2008

    • Author(s)
      Masahiko Ito
    • Journal Title

      The Quarterly Journal of Mathematicsに掲載受理

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Difference Equations and Pieri Formulas for G_2 Type Macdonald Polynomials and Integrability.2008

    • Author(s)
      van Diejen, Jan Felipe ; Ito, Masahiko
    • Journal Title

      Lett. Math. Phys. 86

      Pages: 229-248

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] BCn-type Jackson integral generalized from Gustafson's Cn-type sum2008

    • Author(s)
      K.Aomoto & M.Ito
    • Journal Title

      Journal of Difference Equations and Applications (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Askey-Wilson type integrals associated with root systems2006

    • Author(s)
      伊藤 雅彦
    • Journal Title

      Ramanujan Journal 12

      Pages: 131-151

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Askey-Wilson type integrals associated with systems2006

    • Author(s)
      M.ito
    • Journal Title

      Ramanujan Journal 12

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] BCn型ジャクソン積分と'基本'対称式2006

    • Author(s)
      伊藤雅彦
    • Journal Title

      数理解析研究所講究録 1497

      Pages: 79-87

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] q-difference shift for a BCn type Jackson integral from 'elementary' symmetric polynomials2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Adv. in Math 204

      Pages: 19-646

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Another proof of Gustafson's Cn-type summation formula via 'elementary'symmetric polynomials2006

    • Author(s)
      M.Ito
    • Journal Title

      pulications of RIMS 42

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      Kazuhiko, Koike, Masahiko, Ito
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Askey-Wilson type integrals associated with root systems2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Ramanujan Journal 12

      Pages: 131-151

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Askey-Wilson type integrals associated with root systems2006

    • Author(s)
      伊藤雅彦
    • Journal Title

      Ramanujan Journal 12

      Pages: 131-151

    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Jackson integrals of type BC_n and 'elementary' symmetric functions' (in Japanese)2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      RIMS Kokyuroku 1497

      Pages: 79-97

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] q-difference shift for a BCn type Jackson integral arising from 'elementary' symmetric polynomials2006

    • Author(s)
      伊藤雅彦
    • Journal Title

      Advances in Mathematics 204

      Pages: 619-646

    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] BC_n型ジャクソン積分ど'基本'対称式2006

    • Author(s)
      伊藤 雅彦
    • Journal Title

      京都大学数理解析研究所講究録 1497

      Pages: 79-87

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] q-difference shift for a BCn type Jackson integral arising from'element ary'symmetric polynomials2006

    • Author(s)
      伊藤 雅彦
    • Journal Title

      Advances in Mathematics 204

      Pages: 619-646

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] q-difference shift for a BCn type Jackson integral arising from 'elementary'symmetric polynomials2006

    • Author(s)
      M.Ito
    • Journal Title

      Advances in Mathematics 204

      Pages: 619-646

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] BCn型ジャクソン積分と墓本'対称式2006

    • Author(s)
      伊藤 雅彦
    • Journal Title

      数理解析研究所講究録 1497

      Pages: 79-87

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Askey-Wilson type integrals associated with root systems2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Ramanujan Journal 12

      Pages: 131-151

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Another proof of Gustafson's C_n-type summation formula via 'elementary' symmetric polynomials2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Publications of RIMS 42

      Pages: 523-549

    • NAID

      110004626193

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      M.Ito & K.Koike
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Askey-Wilson type integrals associated with root systems2006

    • Author(s)
      M.Ito
    • Journal Title

      Ramanujan Journal 12

      Pages: 131-151

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      小池 和彦、伊藤 雅彦
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Another proof of Gustafson's Cn-type summation formula via'elementar y'symmetric polynomials2006

    • Author(s)
      伊藤 雅彦
    • Journal Title

      Publications of RIMS 42

      Pages: 523-549

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      M.Ito, K.Koike
    • Journal Title

      Journal of Algebra 302

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Another proof of Gustafson's Cn-type summation formula via 'elementary' symmetric polynomials2006

    • Author(s)
      伊藤雅彦
    • Journal Title

      Publications of RIMS 42

      Pages: 523-549

    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] BCn型ジャクソン積分と'基本'対称式2006

    • Author(s)
      伊藤雅彦
    • Journal Title

      数理研講究録 1497

      Pages: 79-87

    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      Kazuhiko, Koike, Masahikom, Ito
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Jackson integrals of type BCn and `'elementary' symmetric functions (in Japanese)2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      RIMS Kokyuroku 1497

      Pages: 79-97

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Another proof of Gustafson's Cn-type summation formula via 'elementary' symmetric polynomials2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Publications of RIMS 42

      Pages: 523-549

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] q-difference shift for a BC_n type Jackson integral from 'elementary' symmetric polynomials2006

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Adv. in Math 204

      Pages: 619-646

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A generalization of Weyl's denominator formulas for the classical groups2006

    • Author(s)
      小池和彦, 伊藤雅彦
    • Journal Title

      Journal of Algebra 302

      Pages: 817-825

    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] Another proof of Gustafson's Cn-type summation formula via elementary'symmetric polynomials2006

    • Author(s)
      M.Ito
    • Journal Title

      Publications of RIMS 42

      Pages: 523-549

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] On the structure of Jackson integrals of BC_n type and holonomic q-difference equations2005

    • Author(s)
      Kazuhiko Aomoto, Masahiko Ito
    • Journal Title

      Proceedings of the Japan Academy 81(A) No.9

      Pages: 145-150

    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] On the structure of Jackson integrals of BCn Type and holonomic q-difference equations2005

    • Author(s)
      K., Aomoto, M., Ito
    • Journal Title

      Proc. Japan Acad. Ser. A Math., Sci. 81

      Pages: 145-150

    • NAID

      40007140160

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] On the structure of Jackson integrals of B_n type and Holonomic q-difference equations2005

    • Author(s)
      K.Aomoto & M.Ito
    • Journal Title

      Proceedings of the Japan Academy 81,Ser.A,No.9

      Pages: 145-150

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] On the structure of Jackson integrals of BC_n type and holonomic q-difference equations2005

    • Author(s)
      Kazuhiko Aomoto, Masahiko ITO
    • Journal Title

      Japan Academy. Proceedings. Series A. Mathematical Sciences 81, no.9

      Pages: 145-150

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] On the structure of Jackson integrals of $BC_n$ type and Holonomic q-difference equations2005

    • Author(s)
      K.Aomoto, M.Ito
    • Journal Title

      Proceedings of the Japan Academy 81, Ser. A, No.9

      Pages: 145-150

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] On the structure of Jackson integrals of BC_n type and holonomic q-difference equations2005

    • Author(s)
      Kazuhiko Aomoto, Masahiko Ito
    • Journal Title

      Japan Academy.Proceedings.Series A.Mathematical Sciences 81 No.9

      Pages: 145-150

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems2003

    • Author(s)
      Masahiko ITO
    • Journal Title

      Journal of Approximation Theory 124

      Pages: 154-180

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Symmetry classification for Jackson integrals associated with the root system BCn2003

    • Author(s)
      Masahiko ITO
    • Journal Title

      Compositio Mathematica 136

      Pages: 209-216

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] Symmetry classification for Jackson integrals associated with the root system BCn2003

    • Author(s)
      Masahiko ITO
    • Journal Title

      Compositio Mathematics 136

      Pages: 209-216

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] Symmetry classification for Jackson integrals associated with the root system BC_n2003

    • Author(s)
      Masahiko ITO
    • Journal Title

      Compositio Mathematica 136

      Pages: 209-216

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Symmetry classification for Jackson integrals associated with The root system BC_n2003

    • Author(s)
      Masahiko Ito
    • Journal Title

      Compositio Mathematica 136

      Pages: 209-216

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems2003

    • Author(s)
      Masahiko ITO
    • Journal Title

      Journal of Approximation Theory 124

      Pages: 154-180

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems2003

    • Author(s)
      Masahiko Ito
    • Journal Title

      Journal of Approximation Theory 124

      Pages: 154-180

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Another proof of Gustafson's C_n-type summation formula via 'elementary' symmetric polynomials

    • Author(s)
      Masahiko ITO
    • Journal Title

      Publications of Research Institute for Mathematical Sciences, Kyoto University (To appear)

    • NAID

      110004626193

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Askey-Willson integrals associated with root systems

    • Author(s)
      Masahiko ITO
    • Journal Title

      The Ramanujan Journal (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] On the Sears-Slater basic hypergeometric transformations

    • Author(s)
      Masahiko, Ito, Yukari, Sanada
    • Journal Title

      Ramanujan Journal (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Another proof of Gustafson's Cn-type summation formula vis 'elementary' Symmetric polynomials

    • Author(s)
      Masahiko ITO
    • Journal Title

      Publications of Research Institute for Mathematical Sciences (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] q-difference shift for a BC_n-type Jackson integral arising from 'elementary' symmetric polynomials

    • Author(s)
      Masahiko Ito
    • Journal Title

      Advances in Mathematics (To appear)

    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Askey-Wilson integrals associated with root systems

    • Author(s)
      Masahiko ITO
    • Journal Title

      The Ramanujan Journal (To appear)

    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] Askey-Wilson integrals associated with root systems

    • Author(s)
      Masahiko ITO
    • Journal Title

      The Ramanujan Journal (to appear.)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] Askey-Wilson integrals associated with root systems

    • Author(s)
      Masahiko ITO
    • Journal Title

      The Ramanujan Journal (To appear)(印刷中)

    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] BCn-type Jackson integral generalizedfrom Gustafson's Cn-type sum

    • Author(s)
      K.Aomoto & M.Ito
    • Journal Title

      Journal of Difference Equations and Applications (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Another proof of Gustafson's C_n-type summation formula via 'elementary' symmetric polynomials

    • Author(s)
      Masahiko Ito
    • Journal Title

      Publications of Research Institute for Mathematical Sciences Kyoto University (To appear)

    • NAID

      110004626193

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] Askey-Willson integrals associated with root systems

    • Author(s)
      Masahiko Ito
    • Journal Title

      The Ramanujan Journal (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] On the Sears-Slater basic hypergeometric transformations

    • Author(s)
      Masahiko, Ito, Yukari, Sanada
    • Journal Title

      Ramanujan J (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-poised-balanced 2rΨ2r series

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Quarterly Journal of Math (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Structure of Jackson integrals of BCn type

    • Author(s)
      K., Aomoto, M., Ito
    • Journal Title

      Tokyo Journal of Mathematics (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-poised-balanced 2rΨ2r series

    • Author(s)
      Masahiko, Ito
    • Journal Title

      Quarterly Journal of Math (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Journal Article] BCn-type Jackson integral generalized from Gustafson's Cn-type sum

    • Author(s)
      K., Aomoto, M., Ito
    • Journal Title

      Journal of Difference Equations and Applications (in press)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Journal Article] Askey-Wilson integrals associated with root systems

    • Author(s)
      Masahiko ITO
    • Journal Title

      The Ramanujan Journal To appear

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] A multiple generalization of Slater's transformation formula for a very-well-poised-balanced 2rΨ2r series

    • Author(s)
      Masahiko Ito
    • Journal Title

      The Quarterly Journal of Mathematics (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Journal Article] Another proof of Gustafson's Co-type sumation formula vis ‘elementary' Symmetric polynomials

    • Author(s)
      Masahiko ITO
    • Journal Title

      Publications of Research Institute for Mathematical Sciences To appear

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540045
  • [Journal Article] q-difference shift for a BC_n-type Jackson integral arising from 'elementary' symmetric polynomials

    • Author(s)
      Masahiko Ito
    • Journal Title

      Advances in Mathematics (To appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] q-difference shift for a BC_n-type Jackson integral arising from 'elementary' symmetric polynomials

    • Author(s)
      Masahiko ITO
    • Journal Title

      Advances in Mathematics (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540183
  • [Journal Article] On the Sears-Slater basic hypergeometric transformations

    • Author(s)
      M.Ito, Y.Sanada
    • Journal Title

      Ramanujan Journal に掲載受理

    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] Commuting difference operators and Pieri Formulas for F4 type Macdonald polynomials2023

    • Author(s)
      Masahiko Ito
    • Organizer
      The 16th MSJ-SI workshop : Elliptic Integrable Systems, Representation Theory and Hypergeometric Functions, Komaba Campus, the University of Tokyo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03153
  • [Presentation] F4型マクトドナルド多項式に対する可換なq差分作用素族とピエリ公式2023

    • Author(s)
      伊藤 雅彦
    • Organizer
      第28回北海道特殊関数セミナー, 北海道大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03153
  • [Presentation] 球面配置に付随する超幾何積分の準位関数Fから定まる臨界点におけるFのヘッセ行列式の積について2022

    • Author(s)
      青本和彦 伊藤雅彦
    • Organizer
      日本数学会年会「無限可積分系セッション」(於:埼玉大学)
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] 6パラメータのG2型楕円超幾何積分が満たすq差分方程式系について2020

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会年会「無限可積分系セッション」(於:日本大学)
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] G2型楕円超幾何積分が満たすq差分方程式について2020

    • Author(s)
      伊藤雅彦
    • Organizer
      研究集会「q,q & q」(於:神戸大学)
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] Elliptic extension of Gustafson's q-integral of type G22020

    • Author(s)
      Masahiko Ito
    • Organizer
      RMT Seminar, University of Melbourne, Australia
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] ワイル群不変な q-超幾何積分2019

    • Author(s)
      伊藤雅彦
    • Organizer
      表現論と特殊函数セミナー 2019 沖縄
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] Elliptic extension of Gustafson's q-integral of type G22019

    • Author(s)
      Masahiko Ito
    • Organizer
      15th International Symposium on Orthogonal Polynomials, Special Functions and Applications, OPSFA2019 (Hagenberg, Austria)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] Elliptic extension of Gustafson's q-integral of type G22019

    • Author(s)
      Masahiko Ito
    • Organizer
      Elliptic integrable systems, special functions and quantum field theory (NORDITA, Stockholm)
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] G2型Gustafson q-ベータ積分の楕円化とその無限積表示について2018

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会秋季総合分科会「無限可積分系セッション」
    • Data Source
      KAKENHI-PROJECT-18K03339
  • [Presentation] G2型Weyl群不変なq超幾何積分の行列式公式2018

    • Author(s)
      伊藤雅彦 宮永愛子 野海正俊
    • Organizer
      日本数学会年会「無限可積分系セッション」(東京大学)
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] A determinant formula associated with the elliptic hypergeometric integrals of type BCn2017

    • Author(s)
      Masahiko Ito
    • Organizer
      Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics
    • Place of Presentation
      ウィーン大学エルヴィン・シュレーディンガー研究所(オーストリア、ウィーン)
    • Year and Date
      2017-03-23
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] Selberg型BCn楕円超幾何積分の行列式公式2017

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会秋季総合分科会「無限可積分系セッション」(山形大学)
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] A型 Jackson 積分と Ramanujan 1ψ1 和公式, Slater rψr 変換公式の一般化2016

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会2016年度年会「無限可積分系セッション」
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] A型楕円Lagrange補間函数の構成法2016

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会2016年度年会「無限可積分系セッション」
    • Place of Presentation
      筑波大学(茨城県つくば市)
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] Gustafson-Rakha 和公式の楕円化2016

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会秋季総合分科会「無限可積分系セッション」
    • Place of Presentation
      関西大学(大阪府、吹田市)
    • Year and Date
      2016-09-15
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] BC型楕円多重和公式の基本不変式による導出2015

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会2015年度年会「無限可積分系セッション」
    • Place of Presentation
      明治大学 駿河台キャンパス
    • Year and Date
      2015-03-23
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] Sears-Slater の変換公式の一般化と BCn 型楕円 Lagrange 補間函数2015

    • Author(s)
      伊藤雅彦 野海正俊
    • Organizer
      日本数学会2015年度秋季総合分科会「無限可積分系セッション」
    • Place of Presentation
      京都産業大(京都府京都市)
    • Year and Date
      2015-09-14
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] A Compound Determinant Identity for Rectangular Matrices2011

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会年会無限可積分系セッション
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-24
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] An introduction to q-special functions2011

    • Author(s)
      Masahiko Ito
    • Organizer
      Tuesday Seminar, University of Melbourne
    • Place of Presentation
      オーストラリア
    • Year and Date
      2011-03-29
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Presentation] An introduction to q-special functions2011

    • Author(s)
      Masahiko Ito
    • Organizer
      Tuesday Seminar, University of Melbourne
    • Place of Presentation
      University of Melbourne
    • Year and Date
      2011-03-29
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] BCn型q超幾何関数の三項間隣接関係式とその応用2010

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋季分科会(名古屋大学)
    • Place of Presentation
      愛知県
    • Year and Date
      2010-09-25
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Presentation] ワイル群不変なジャクソン積分のq差分方程式2010

    • Author(s)
      伊藤雅彦
    • Organizer
      岡山大学談話会
    • Place of Presentation
      岡山大学
    • Year and Date
      2010-12-23
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] BC_n型q超幾何関数の三項間隣接関係式とその応用2010

    • Author(s)
      伊藤雅彦
    • Organizer
      青山数理セミナー
    • Place of Presentation
      青山学院大学
    • Year and Date
      2010-04-21
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] ワイル群不変なジャクソン積分のq差分方程式2010

    • Author(s)
      伊藤雅彦
    • Organizer
      研究集会「微分方程式の総合的研究」
    • Place of Presentation
      京都大学
    • Year and Date
      2010-12-18
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] ワイル群不変なジャクソン積分のq 差分方程式2010

    • Author(s)
      伊藤雅彦
    • Organizer
      岡山大学談話会, および研究集会「微分方程式の総合的研究」
    • Place of Presentation
      岡山大学, 京都大学
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] BC_n 型q 超幾何関数の三項間隣接関係式とその応用2010

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋季総合分科会無限可積分系セッション, および研究集会「BC 系とAGT 予想の周辺」2010年9月11日, および神戸可積分系セミナー, および青山数理セミナー
    • Place of Presentation
      名古屋大学, 東京大学, 神戸大学, 青山学院大学
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] ワイル群不変なジャクソン積分のq差分方程式2010

    • Author(s)
      伊藤雅彦
    • Organizer
      函数方程式論分科会 研究集会「微分方程式の総合的研究」(京都大学)
    • Place of Presentation
      京都府
    • Year and Date
      2010-12-18
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Presentation] BC_n型q超幾何関数の三項間隣接関係式とその応用2010

    • Author(s)
      伊藤雅彦
    • Organizer
      研究集会「BC系とAGT予想の周辺」
    • Place of Presentation
      東京大学
    • Year and Date
      2010-09-11
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] Three term recurrence relations for q-hypergeometric functions of type BC_n and their applications2010

    • Author(s)
      伊藤雅彦
    • Organizer
      神戸可積分系セミナー
    • Place of Presentation
      神戸大学
    • Year and Date
      2010-04-28
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] BC_n型q超幾何関数の三項間隣接関係式とその応用2010

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋季総合分科会無限可積分系セッション
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-25
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] セルバーグ型超幾何関数の隣接関係式と補間多項式2009

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋季分科会「無限可積分系セッション」
    • Place of Presentation
      大阪大
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-21540225
  • [Presentation] セルバーグ型超幾何関数の隣接関係式と補間多項式2009

    • Author(s)
      伊藤雅彦
    • Organizer
      東京理科大学「特異点セミナー」
    • Place of Presentation
      東京理科大学
    • Year and Date
      2009-05-11
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] セルバーグ型超幾何関数の隣接関係式と補間公式2009

    • Author(s)
      伊藤雅彦
    • 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-19540226
  • [Presentation] セルバーグ型超幾何関数の隣接関係式と補間多項式2009

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      Masahiko Ito
    • Organizer
      Conference on Partitions, q-Series and Modular Forms
    • Place of Presentation
      University of Florida (アメリカ)
    • Year and Date
      2008-03-16
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      Masahiko Ito
    • Organizer
      Conference on Partitions, q-Series and Modular Forms
    • Place of Presentation
      University of Florida アメリカ
    • Year and Date
      2008-03-16
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      Masahiko, Ito
    • Organizer
      Conference on Partitions, q-Series and Modular Forms
    • Place of Presentation
      Univ. of Florida, U. S. A
    • Year and Date
      2008-03-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      Masahiko, Ito
    • Organizer
      Conference on Partitions, q-Series and Modular Forms
    • Place of Presentation
      Univ. of Florida, U. S. A
    • Year and Date
      2008-03-16
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] A first order q-difference system for the BC_1-type Jackson integral and its applications.2008

    • Author(s)
      Ito, Masahiko
    • Organizer
      Workshop: Elliptic integrable systems, isomonodromy problems, and hypergeometric function.
    • Place of Presentation
      マックスプランク研究所, ドイツ
    • Data Source
      KAKENHI-PROJECT-19540226
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2008

    • Author(s)
      Masahiko Ito
    • Organizer
      Conference on Partitions, q-Series and Modular Forms
    • Place of Presentation
      University of Florida,アメリカ
    • Year and Date
      2008-03-16
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] Sears-Slaterのvery-well-poised q-超幾何変換公式の多重級数への一拡張2007

    • Author(s)
      伊藤 雅彦
    • Organizer
      日本数学会年会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2007

    • Author(s)
      Masahiko, Ito
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Saitama University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] Sears-Slaterのvery-well-poised q-超幾何変換公式の多重級数への一拡張2007

    • Author(s)
      伊藤 雅彦
    • Organizer
      日本数学会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] On the Sears-Slater basic hypergeometric transformations2007

    • Author(s)
      Masahiko, Ito
    • Organizer
      the annual meeting of MSJ
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] a proof of transformation formula for a very-well-poised q-hypergeometric series from the view point of Weyl group symmetry2006

    • Author(s)
      Masahiko, Ito, Yukari, Sanada
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Osaka Municipal University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] Pieri formulas for the symmetric polynomials Of type G_22006

    • Author(s)
      Masahiko, Ito
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Chuo University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] ワイル群対称性によるvery-well-poised q-超幾何級数の変換公式の証明2006

    • Author(s)
      伊藤 雅彦, 真田 ゆかり
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-22
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] a proof of transformation formule for a very-well-poised q-hypergeometric series from the view point of Weyl group symmetry2006

    • Author(s)
      Masahiko, Ito, Yukari, Sanada
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Osaka Municipal University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] G_2型マクドナルド対称多項式のピェリ公式2006

    • Author(s)
      伊藤 雅彦
    • Organizer
      日本数学会年会
    • Place of Presentation
      中央大学
    • Year and Date
      2006-03-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] ワイル群対称性によるvery-well-poised q-超幾何級数の変換公式の証明2006

    • Author(s)
      伊藤 雅彦, 真田 ゆかり
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      大阪市立大学
    • Year and Date
      2006-09-22
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-18540046
  • [Presentation] G2型マクドナルド対称多項式のピエリ公式2006

    • Author(s)
      伊藤 雅彦
    • Organizer
      日本数学会年会
    • Place of Presentation
      中央大学
    • Year and Date
      2006-03-29
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] Pieri formulas for the symmetric polynomials of type G22006

    • Author(s)
      Masahiko, Ito
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Chuo University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] van Diejen's Pieri formulas and BCn-type Jackson integrals2005

    • Author(s)
      Masahiko, Ito
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Okayama University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] BCn-type Jackson integrals and 'elementary' symmetric polynomials2005

    • Author(s)
      Masahiko, Ito
    • Organizer
      RIMS Workshop
    • Place of Presentation
      Kyoto University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] vanDiejenのPieri型公式とBCn型ジャクソン積分2005

    • Author(s)
      伊藤 雅彦
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      岡山大学
    • Year and Date
      2005-09-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] BCn型ジャクソン積分に付随するq-差分deRhamコホモロジーの次元について2005

    • Author(s)
      青本 和彦, 伊藤 雅彦
    • Organizer
      日本数学会秋季分科会
    • Place of Presentation
      岡山大学
    • Year and Date
      2005-09-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] On the rank of the q-twist de Rham cohomology associated with a BCn-type Jackson integral2005

    • Author(s)
      K., Aomoto, M., Ito
    • Organizer
      the annual meeting of MSJ
    • Place of Presentation
      Okayama University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] BCn型ジャクソン積分と'基本'対称式2005

    • Author(s)
      伊藤 雅彦
    • Organizer
      RIMS研究集会, 組合せ論的表現論の世界
    • Place of Presentation
      RIMS京都大学
    • Year and Date
      2005-11-11
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540037
  • [Presentation] 両側級数に拡張されたq-Selberg積分

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋期分科会「無限可積分系セッション」
    • Place of Presentation
      愛媛大学(愛媛県)
    • Data Source
      KAKENHI-PROJECT-25400118
  • [Presentation] q-Dixon-Anderson積分

    • Author(s)
      伊藤雅彦
    • Organizer
      日本数学会秋期分科会「無限可積分系セッション」
    • Place of Presentation
      愛媛大学(愛媛県)
    • Data Source
      KAKENHI-PROJECT-25400118
  • 1.  KOIKE Kazuhiko (70146306)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 6 results
  • 2.  TANIGUCHI Kenji (20306492)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  YANO Kouichi (60114691)
    # of Collaborated Projects: 4 results
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  • 4.  KIMURA Isamu (40082820)
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  • 5.  IHARA Shinichiro (30012347)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  KAWAMURA Tomomi (40348462)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  KANEKO Jyouichi (10194911)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  NOUMI Masatoshi (80164672)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 10 results
  • 9.  OKADA Soichi (20224016)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 10.  SATSUMA Junkichi (70093242)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  FORRESTER Peter J.
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 3 results
  • 12.  石川 雅雄
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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