Relations between Lauricella’s triple hypergeometric function FA(3)(x,y,z) and Exton’s function X8

Very recently Choi et al. derived some interesting relations between Lauricella’s triple hypergeometric function FA(3)(x,y,z) and the Srivastava function F(3)[x,y,z] by simply splitting Lauricella’s triple hypergeometric function FA(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 FA(3)(x,y,z) and Exton’s function X8 in the form of a single result. Our results presented here are derived with the help of two general summation formulae for the terminating F12(2) series which were very recently obtained by Kim et al. and also include the relationship between FA(3)(x,y,z) and X8 due to Exton.MSC: 33C20, 44A45.

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