Some Gauss type contiguous relations between Faraut-Koranyi hypergeometric functions

نویسندگان
EL Wassouli, Fouzia ID 1
Oukacha, Daoud ID 2

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

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

doi
10.22075/ijnaa.2021.24339.2720
چکیده

 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.

کلیدواژه‌ها
Gindikin Gamma function, generalized hypergeometric functions, zonal polynomials