Geodesic
A $(p,\nu)$-Extension of Srivastava's Triple Hypergeometric Function $H_C$
Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 33

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DOI

We obtain a $(p,\nu)$-extension of Srivastava's triple hypergeometric function $H_C(\cdot)$ by employing the extended Beta functioninebreak $B_{p,\nu}(x,y)$ introduced in Parmar et al.~[J. Class. Anal. extbf{11} (2017), 91--106]. We give some of the main properties of this extended function, which include several integral representations, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.
DOI : 10.2298/PIM2022033D
Classification : 33C60, 33C65, 33C70, 33B15, 33C05, 33C45, 33C10
Keywords: Srivastava's triple hypergeometric functions, Beta and Gamma functions, modified Bessel function, bounded inequality 
S. A. Dar; R. B. Paris. A $(p,\nu)$-Extension of Srivastava's Triple Hypergeometric Function $H_C$. Publications de l'Institut Mathématique, _N_S_108 (2020) no. 122, p. 33 . doi: 10.2298/PIM2022033D
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     title = {A $(p,\nu)${-Extension} of {Srivastava's} {Triple} {Hypergeometric} {Function} $H_C$},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {33 },
     year = {2020},
     volume = {_N_S_108},
     number = {122},
     doi = {10.2298/PIM2022033D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM2022033D/}
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