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

页码：793 / 802

页数：10