International Journal of Nonlinear Analysis and Applications

Some Gauss type contiguous relations between Faraut-Koranyi hypergeometric functions

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 domain. We establish some Gauss type contiguous relations between these functions on the two Cartan domains of type I2 and type  IV4 analogous to the classical relations in the one variable case.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 8
August 2024
Pages 349-358
  • Receive Date: 25 August 2021
  • Accept Date: 22 October 2021