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.
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页码：621 / 633
页数：13
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