Extension of Generalized Hurwitz-Lerch Zeta Function and Associated Properties
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Very recently, Srivastava et al. [8] introduced an extension of the Pochhammersymbol and used it to de ne a generalization of the generalized hypergeometric functions. In this paper, by using the generalized Pochhammer symbol, we extend the generalizedHurwitz-Lerch Zeta function by Goyal and Laddha [6] and investigate some interestingproperties which include various integral representations, Mellin transforms, di erentialformula and generating function. Some interesting special cases of our main results arealso considered.
Abstract
Very recently, Srivastava et al. [8] introduced an extension of the Pochhammersymbol and used it to de ne a generalization of the generalized hypergeometric functions. In this paper, by using the generalized Pochhammer symbol, we extend the generalizedHurwitz-Lerch Zeta function by Goyal and Laddha [6] and investigate some interestingproperties which include various integral representations, Mellin transforms, di erentialformula and generating function. Some interesting special cases of our main results arealso considered.
참고문헌 (13)
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