A (p, V )-extension of Hurwitz-lerch Zeta Function and Its Properties
نویسندگان
چکیده
In this paper, we define a (p, v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81106]. We obtain its basic properties which include integral representations, Mellin transformation, derivative formulas and certain generating relations. Also, we establish the special cases of the main results. keywords: Extended beta function, hypergeometric functions, Hurwitz-Lerch Zeta functions, Mellin transform, transformation formula and summation formula. MSC[2010]: 11B68, 33C20, 33C45, 33C65, 33C05
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