International Journal of Nonlinear Analysis and Applications

On the Zonal function and the Faraut-Koranyi hypergeometric function in rank two

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences, University Hassan II, Casablanca, Morocco

Abstract

In this paper we give a complete description of the generalized hypergeometric functions, introduced by Faraut and Kor'{a}nyi on the Cartan domains. We establish some recursive relations with different arguments of zonal functions and some Gauss type contiguous relations between the Faraut-Kor'{a}nyi hypergeometric functions on the domains of rank two. Finally, we give an infinite sums involving classical hypergeometric functions.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 10
October 2023
Pages 247-256
  • Receive Date: 13 July 2022
  • Revise Date: 16 August 2023
  • Accept Date: 18 August 2023