On the Faraut-Koranyi hypergeometric functions in rank two

被引：9

作者：

Englis, M

Zhang, GK

机构：

[1] MU AV CR, Prague 11567 1, Czech Republic

[2] Chalmers Univ Technol, Dept Math, S-41296 Gothenburg, Sweden

来源：

ANNALES DE L INSTITUT FOURIER | 2004年 / 54卷 / 06期

关键词：

Cartan domain; hypergeometric function; partition; spherical polynomial; Jack polynomial;

D O I：

10.5802/aif.2069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a complete description of the boundary behaviour of the generalized hypergeometric functions, introduced by Faraut and Koranyi, on Cartan domains of rank 2. The main tool is a new integral representation for some spherical polynomials, which may be of independent interest.

引用

页码：1855 / +

页数：22

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