%0 Journal Article
%T Relations between Lauricella's triple hypergeometric function $F_A^{(3)}(x,\,y,\,z)$ and Exton's function $X_{8}$
%A Junesang Choi and Arjun K. Rathie
%J Advances in Difference Equations
%D 2013
%I 
%R 10.1186/1687-1847-2013-34
%X 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 ${}_2F_1(2)$ 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.
%U http://www.advancesindifferenceequations.com/content/2013/1/34/abstract