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On the Zonal function and the Faraut-Koranyi hypergeometric function in rank two | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 22، دوره 14، شماره 10، دی 2023، صفحه 247-256 اصل مقاله (403.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27512.3632 | ||
| نویسندگان | ||
| Fouzia EL Wassouli* ؛ Daoud Oukacha | ||
| Department of Mathematics, Faculty of Sciences, University Hassan II, Casablanca, Morocco | ||
| تاریخ دریافت: 22 تیر 1401، تاریخ بازنگری: 25 مرداد 1402، تاریخ پذیرش: 27 مرداد 1402 | ||
| چکیده | ||
| In this paper we give a complete description of the generalized hypergeometric functions, introduced by Faraut and Kor'{a}nyi on the Cartan domains. We establish some recursive relations with different arguments of zonal functions and some Gauss type contiguous relations between the Faraut-Kor'{a}nyi hypergeometric functions on the domains of rank two. Finally, we give an infinite sums involving classical hypergeometric functions. | ||
| کلیدواژه‌ها | ||
| Gindikin Gamma function؛ generalized hypergeometric functions؛ zonal polynomials؛ Cartan domains | ||
| مراجع | ||
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