Some Gauss type contiguous relations between Faraut-Koranyi hypergeometric functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 15، شماره 8، آبان 2024، صفحه 349-358 اصل مقاله (422.39 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24339.2720 | ||
| نویسندگان | ||
| Fouzia EL Wassouli* ؛ Daoud Oukacha | ||
| Department of Mathematics, Faculty of Sciences, University Hassan II, Casablanca, Morocco | ||
| 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 | ||
| مراجع | ||
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