野海正俊

ノウミマサトシ | Noumi Masatoshi

所属機関・部署：
職名：特任教授

研究分野 (1件)：基礎解析学

競争的資金等の研究課題 (71件)：

全件表示

論文 (56件)：

Masahiko Ito, Masatoshi Noumi. Elliptic extension of Gustafson's q-integral of type G2. Advances in Mathematics. 2020. 370. 107211-107211
Masatoshi Noumi, Simon Ruijsenaars, Yasuhiko Yamada. The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian. Symmetry, Integrability and Geometry: Methods and Applications. 2020
Masahiko Ito, Masatoshi Noumi. A determinant formula associated with the elliptic hypergeometric integrals of type BCn. Journal of Mathematical Physics. 2019. 60. 7. 071705-071705
野海正俊. Remarks on τ-functions for the difference Painlevé equations of type E8. Advanced Studies inPure Mathematics Representation Theory, Special Functions and Painlevé Equations -RIMS 2015pp. 1-65. 2018. 76
M. Ito, 野海正俊. Connection formula for the Jackson integral of type An and elliptic Lagrangeinterpolation. SIGMA. 2018. 14. No. 077,. 42

MISC (8件)：

野海正俊. Hecke環と対称多項式 : Macdonald多項式入門 (特集《量子化》の発想 : 可積分系から幾何学まで). 数理科学. 2013. 51. 2. 39-45
KAJIWARA K, MASUDA T, NOUMI M, OHTA Y, YAMADA Y. A geometric description of the elliptic Painlev ́e equation. Rokko Lectures in Mathematics 18 Elliptic integrable systems. 2005. 18. 43-48
野海正俊. パンルヴェ方程式,特殊多項式,可積分系 (特集数理物理における代数解析的方法). 数理科学. 2000. 38. 11. 26-32
野海正俊, 山田泰彦. Painleve型hierarchyのaffine Weyl群対称性(Painleve系, 超幾何系, 漸近解析). 数理解析研究所講究録. 2000. 1133. 117-123
野海正俊. A realization of Mecdonald's symmetric polynomials on quantum homogeneous spaces. Int. J. Mod. Phys. A(Proc. Suppl.). 1993. 3. 218-223

書籍 (4件)：

Special Issue on Relationship of Orthogonal Polynomials and Special Functions with Quantum Groups and Integrable Systems
SIGMA 2012
Elliptic Integrable Systems
Rokko Lectures in Mathematics 2005
Painleve equations through symmetry
American Mathematical Society 2004
Askey-Wilson polynomails: an affine Hecke algebra approach, in Laredo Lectures on Orthogonal Polynomials and Special Functions, R.Alvarez-Nodarse et al, Eds. Pp.111-144
Nova Science Publishers 2004

講演・口頭発表等 (69件)：

Ruijsenaars 系の固有函数:現状と課題
(表現論と特殊函数セミナー 2019)
Elliptic hypergeometric integrals and associated determinant formulas
(13th International Conference on Symmetry and Integrability of Difference Equations (SIDE 13) 2018)
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
(日本数学会2018年秋季総合分科会 2018)
Elliptic hypergeometric integrals
(Summer Research Institute on q-Series 2018)
Elliptic hypergeometric functions and elliptic difference Painlevé equation
(XIX International Congress on Mathmatical Physics 2018)

学歴 (1件)：

学位 (2件)：

受賞 (2件)：

2017 - Journal of Physics A Journal of Physics A Highlights of 2017 collection パンルヴェ方程式の幾何学的研究
2013/01 - The American Mathematical Society The initial class of Fellows of the American Mathematical Society -

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野海 正俊