Jacobi-Type Differential Relations for the Lauricella Function FD(N)

被引：4

作者：

Bezrodnykh, S. I. ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow, Russia

[2] Lomonosov Moscow State Univ, Sternberg State Astron Inst, Moscow, Russia

[3] Peoples Friendship Univ Russia, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2016年 / 99卷 / 5-6期

基金：

俄罗斯基础研究基金会;

关键词：

generalized Lauricella hypergeometric function; Jacobi-type differential relation; Jacobi identity; Gauss function; Christoffel-Schwarz integral; FORMULAS;

D O I：

10.1134/S0001434616050205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the generalized Lauricella hypergeometric function F-D((N)), Jacobi-type differential relations are obtained and their proof is given. A new system of partial differential equations for the function F-D((N)) is derived. Relations between associated Lauricella functions are presented. These results possess a wide range of applications, including the theory of Riemann-Hilbert boundary-value problem.

引用

页码：821 / 833

页数：13

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