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 $I_{ 2}$ and type  $IV_{4}$ 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