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Browsing by Author "Usman, Talha"

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    Analytical properties of the Hurwitz-Lerch zeta function
    (2020) Baleanu, Dumitru; Usman, Talha; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; 56389
    In the present paper, we aim to extend the Hurwitz-Lerch zeta function Phi delta,sigma;gamma(xi ,s,upsilon ;p) involving the extension of the beta function (Choi et al. in Honam Math. J. 36(2):357-385, 2014). We also study the basic properties of this extended Hurwitz-Lerch zeta function which comprises various integral formulas, a derivative formula, the Mellin transform, and the generating relation. The fractional kinetic equation for an extended Hurwitz-Lerch zeta function is also obtained from an application point of view. Furthermore, we obtain certain interesting relations in the form of particular cases.