Some formulas for the Appell function F1 (a, b, b'; c; w, z)

被引：44
|
作者：
Brychkov, Yu A. [1 ]
Saad, Nasser [2 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia
[2] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE C1A 4P3, Canada
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2012年 / 23卷 / 11期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Appell functions; differentiation; Humbert functions; integrals; multiple hypergeometric functions; series; special functions;
D O I：
10.1080/10652469.2011.636651
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some new relations for the Appell function F-1(a, b, b'; c; w, z) are obtained including differentiation and integration formulas, integral representations, series and recurrence relations. Some integrals are given which can be expressed in terms of F-1 and confluent Appell functions (Humbert functions) Phi(1), Phi(2), Phi(3).
引用
收藏
页码：793 / 802
页数：10
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