ITO Masahiko 伊藤雅彦

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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 – 2024: 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 / 例外型ルート系 / q-ガンマ関数 / q-超幾何関数 / 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

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

[Journal Article] DEGENERATION OF HYPERGEOMETRIC INTEGRALS ASSOCIATED WITH HYPERSPHERE ARRANGEMENT2024
- Author(s)
  Kazuhiko Aomoto, Masahiko Ito
- Journal Title
  
  Ryukyu Mathematical Journal
  
  Volume: 37 Pages: 1-32
- DOI
  10.24564/0002021001
- ISSN
  2434-6071
- URL
  https://u-ryukyu.repo.nii.ac.jp/records/2021001
- Year and Date
  2024-12-27
- Language
  English
- Open Access
- Data Source
  KAKENHI-PROJECT-23K03153
[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

# of Collaborated Products: 0 results
4. KIMURA Isamu (40082820)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
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

ITO Masahiko 伊藤 雅彦

ITOU Masahiko 伊藤 雅彦

Research Projects

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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

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Study on Weyl group invariant multivariate elliptic hypergeometric functionsPrincipal Investigator

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Research on the difference systems associated with multivariable elliptic hypergeometric functions with Weyl group symmetryPrincipal Investigator

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Koornwinder polynomials and its application

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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

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Construction and classification of systems of multi-variable commutative differential operators

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Study on representation theory of the classical groups and their related combinatorics

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Research on the holonomic q difference systems associated with the Jackson integrals of Weyl group invariantPrincipal Investigator

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The study of infinite product formulae for the Jackson integrals with Weyl group symmetry and their applications.Principal Investigator

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Geometric invariants of representations and the Whittaker models

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Representation Theory, Combinatorics and Related Topics

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[Journal Article] DEGENERATION OF HYPERGEOMETRIC INTEGRALS ASSOCIATED WITH HYPERSPHERE ARRANGEMENT2024

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ITO Masahiko 伊藤雅彦

ITOU Masahiko 伊藤雅彦