CERTAIN SUMMATION FORMULAS FOR HUMBERT'S DOUBLE HYPERGEOMETRIC SERIES Psi(2) AND Phi(2)

被引：5
|
作者：
Choi, Junesang [1 ]
Rathie, Arjun Kumar [2 ]
机构：
[1] Dongguk Univ, Dept Math, Gyeongju 780714, South Korea
[2] Cent Univ Kerala, Sch Math & Phys Sci, Dept Math, Kasaragod 671328, Kerala, India
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 30卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
gamma function; Pochhammer symbol; hypergeometric function; generalized hypergeometric function; Kummer's second summation theorem; Humbert's double double hypergeometric functions;
D O I：
10.4134/CKMS.2015.30.4.439
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main objective of this paper is to establish certain explicit expressions for the Humbert functions Phi(2)(a, a + i ; c ; x, -x) and Psi(2)(a ; c, c + i ; x, -x) for i = 0, +/- 1, +/- 2, ..., +/- 5. Several new and known summation formulas for Phi(2) and Psi(2) are considered as special cases of our main identities.
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页码：439 / 446
页数：8
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