Some Gauss type contiguous relations between Faraut-Koranyi hypergeometric functions

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_{ ۲} and type  IV_{۴} analogous to the classical relations in the one variable case.

کلیدواژه ها:

Gindikin Gamma function ، generalized hypergeometric functions ، zonal polynomials