文章基本信息

标题：Relations between Lauricella’s triple hypergeometric function F A ( 3 ) ( x , y , z ) and Exton’s function X 8
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作者：Junesang Choi ; Arjun K Rathie
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：34
DOI：10.1186/1687-1847-2013-34
语种：English
出版社：Hindawi Publishing Corporation
摘要：Very recently Choi et al. derived some interesting relations between Lauricella’s triple hypergeometric function F A ( 3 ) ( x , y , z ) and the Srivastava function F ( 3 ) [ x , y , z ] by simply splitting Lauricella’s triple hypergeometric function F A ( 3 ) ( x , y , z ) into eight parts. Here, in this paper, we aim at establishing eleven new and interesting transformations between Lauricella’s triple hypergeometric function F A ( 3 ) ( x , y , z ) and Exton’s function X 8 in the form of a single result. Our results presented here are derived with the help of two general summation formulae for the terminating F 1 2 ( 2 ) series which were very recently obtained by Kim et al. and also include the relationship between F A ( 3 ) ( x , y , z ) and X 8 due to Exton. MSC: 33C20, 44A45.
关键词：gamma function ; hypergeometric functions of several variables ; multiple Gaussian hypergeometric series ; Exton’s triple hypergeometric series ; Gauss’s hypergeometric functions ; Lauricella’s triple hypergeometric functions