Certain summation and transformation formulas for generalized hypergeometric series

被引：17

作者：

Miller, Allen R. ^{[1
]}

机构：

[1] George Washington Univ, Washington, DC 20009 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 231卷 / 02期

关键词：

Generalized hypergeometric series;

D O I：

10.1016/j.cam.2009.05.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive summation formulas for generalized hypergeometric series of unit argument, one of which upon specialization reduces to Minton's summation theorem. As an application we deduce a reduction formula for a certain Kampe de Feriet function that in turn provides a Kummer-type transformation formula for the generalized hypergeometric function (p)F(p)(x). (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：964 / 972

页数：9

共 10 条

[1]

Abramowitz M., 1972, HDB MATH FUNCTIONS

[2]

[Anonymous], 1994, FDN COMPUTER SCI

[3] HYPERGEOMETRIC FUNCTIONS WITH INTEGRAL PARAMETER DIFFERENCES [J].