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
