TWO RESULTS FOR THE TERMINATING 3F2(2) WITH APPLICATIONS

被引：6

作者：

Kim, Yong Sup ^{[1
]}

Choi, Junesang ^{[2
]}

Rathie, Arjun K. ^{[3
]}

机构：

[1] Wonkwang Univ, Dept Math, Iksan 570749, South Korea

[2] Dongguk Univ, Dept Math, Gyeongju 780714, South Korea

[3] Ctr Math Sci, Pala 686574, Kerala, India

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 03期

关键词：

generalized hypergeometric series; Gauss's summation theorem; Gauss's second theorem; Kummer's first and second theorems; quadratic transformation; Kummer type I and II transformations; Kampe de Feriet function; SUMMATION FORMULA; THEOREM; TRANSFORMATION; SUM;

D O I：

10.4134/BKMS.2012.49.3.621

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By establishing a new summation formula for the series F-3(2) (1/2), recently Rathie and Pogany have obtained an interesting result known as Kummer type II transformation for the generalized hypergeometric function F-2(2). Here we aim at deriving their result by using a very elementary method and presenting two elegant results for certain terminating series F-3(2)(2). Furthermore two interesting applications of our new results are demonstrated.

引用

页码：621 / 633

页数：13

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