On some formulas for the Appell function F4(a, b; c, c'; w, z)

被引：20

作者：

Brychkov, Yu. A. ^{[1
]}

Saad, Nasser ^{[2
]}

机构：

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

[2] Univ Prince Edward Isl, Dept Math & Stat, Charlottetown, PE, Canada

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 09期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hypergeometric functions; Appell double series; Humbert functions; differentiation and integration formulas; series; special functions;

D O I：

10.1080/10652469.2017.1338276

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New relations for the Appell function F-4(a, b; c, c'; w, z) are obtained including differentiation and integration formulas, finite and infinite series, and functional relations. Some reduction and transformation formulas are also presented.

引用

页码：629 / 644

页数：16

共 16 条

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Opps, Sheldon B. ;

Saad, Nasser ;

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