Geodesic
On a New Class of Unified Reduction Formulas for Srivastava's General Triple Hypergeometric Function $F^{(3)}[x, y, z]$
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 65 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Very recently, by applying the so called Beta integral method to the well-known hypergeometric identities due to Bailey and Ramanujan, Choi et al. [extit{Reduction formula for Srivastava's triple hypergeometric series $F^{(3)}[x, y, z]$}, Kyungpook Math. J. {55} (2015), 439--447] have obtained three interesting reduction formulas for the Srivastava's triple hypergeometric series $F^{(3)}[x,y,z]$. The aim of this paper is to provide three unified reduction formulas for the Srivastava's triple hypergeometric series $F^{(3)}[x, y, z]$ from which as many as reduction formulas desired (including those obtained by { Choi et al}.) can be deduced. In the end, three unified relationships between Srivastava's triple hypergeometric series and Kampé de Fériet function have also been given.
Classification : 33C20, 33B20 33C90, 33C05
Keywords: generalized hypergeometric function $_pF_q$, gamma function, Pochhammer symbol, beta integral, Kampé de Fériet function, Srivastava's triple hypergeometric series $F^{(3)}[x, y, z]$ 
@article{KJM_2020_44_1_a3,
     author = {Yong Sup Kim and Adem Kilicman and Arjun K. Rathie},
     title = {On a {New} {Class} of {Unified} {Reduction} {Formulas} for {Srivastava's} {General} {Triple} {Hypergeometric} {Function} $F^{(3)}[x, y, z]$},
     journal = {Kragujevac Journal of Mathematics},
     pages = {65 },
     year = {2020},
     volume = {44},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a3/}
}
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Yong Sup Kim; Adem Kilicman; Arjun K. Rathie. On a New Class of Unified Reduction Formulas for Srivastava's General Triple Hypergeometric Function $F^{(3)}[x, y, z]$. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 1, p. 65 . http://geodesic.mathdoc.fr/item/KJM_2020_44_1_a3/