Hypergeometric groups of orthogonal type

被引：7

作者：

Venkataramana, T. N. ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, Homi Bhabha Rd, Mumbai 400005, Maharashtra, India

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2017年 / 19卷 / 02期

关键词：

Hypergeometric functions; monodromy; arithmetic groups of orthogonal groups; MONODROMY; SUBGROUPS; SYSTEMS;

D O I：

10.4171/JEMS/675

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain an infinite family of orthogonal hypergeometric groups which are higher rank arithmetic groups. We also list cases of arithmetic monodromy when the real Zariski closure of the hypergeometric group is O (2,3).

引用

页码：581 / 599

页数：19

共 50 条

[31] Monodromy groups and bilinear monodromy invariant combinations of generalized hypergeometric type integrals
Constantinescu, F
Neumann, F
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1996, 19 (04) : 257 - 285
[32] Linear partial difference equations of hypergeometric type: Orthogonal polynomial solutions in two discrete variables
Rodal, J.
Area, I.
Godoy, E.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (02) : 722 - 748
[33] Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
Fabio Deelan Cunden
Francesco Mezzadri
Neil O’Connell
Nick Simm
Communications in Mathematical Physics, 2019, 369 : 1091 - 1145
[34] INTEGRAL AND HYPERGEOMETRIC REPRESENTATIONS FOR MULTIPLE ORTHOGONAL POLYNOMIALS
Branquinho, Amílcar
Díaz, Juan E.F.
Foulquié-Moreno, Ana
Mañas, Manuel
Wolfs, Thomas
arXiv,
[35] Moments of Random Matrices and Hypergeometric Orthogonal Polynomials
Cunden, Fabio Deelan
Mezzadri, Francesco
O'Connell, Neil
Simm, Nick
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 369 (03) : 1091 - 1145
[36] HYPERGEOMETRIC EXPRESSIONS FOR TYPE I JACOBI–PIÑEIRO ORTHOGONAL POLYNOMIALS WITH ARBITRARY NUMBER OF WEIGHTS
Branquinho, Amílcar
Díaz, Juan E.F.
Foulquié-Moreno, Ana
Mañas, Manuel
arXiv, 2023,
[37] A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it
Koepf, Wolfram
Masjed-Jamei, Mohammad
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (08) : 559 - 576
[38] A WHIPPLES TRANSFORMATION FOR HYPERGEOMETRIC-SERIES IN U(N) AND MULTIVARIABLE HYPERGEOMETRIC ORTHOGONAL POLYNOMIALS
GUSTAFSON, RA
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (02) : 495 - 530
[39] CLASSIFICATION OF MAXIMUM ARITHMETIC SUBGROUPS IN ORTHOGONAL GROUPS OF (DL)-TYPE
BONDARENKO, AA
DOKLADY AKADEMII NAUK BELARUSI, 1975, 19 (11): : 969 - 972
[40] CLASSIFICATION OF MAXIMUM ARITHMETIC SUBGROUPS IN ORTHOGONAL GROUPS OF (DL) TYPE
BONDARENKO, AA
DOKLADY AKADEMII NAUK BELARUSI, 1974, 18 (09): : 773 - 776

← 1 2 3 4 5 →