Results 61 to 70 of about 300 (129)
Analytic continuation of the extended Hurwitz-Lerch Zeta function
Sarajevo Journal of Mathematics, 2013 The object of this paper is to investigate the analytic continuation and asymptotic expansions for families of the generalized Hurwich-Lerch Zeta functions defined by Srivastava et al. [24]. The result obtained is of general character and includes, as special cases, the same fashion results the Gauss hypergeometric function, the generalized ...
Ram K. Saxena, Tibor K. Pogany
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New Trends on Analytic Function Theory
, 2019 Journal of Complex Analysis, Volume 2019, Issue 1, 2019.
Serap Bulut +2 more
wiley +1 more source
An extension of the generalized Hurwitz-Lerch Zeta function of two variables
Filomat, 2017 The main object of this paper is to introduce a new extension of the generalized Hurwitz-Lerch Zeta functions of two variables. We then systematically investigate such its several interesting properties and related formulas as (for example) various integral representations, which provide certain new and known extensions of earlier ...
Choi, Junesang, Parmar, Rakesh K.
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Recent Trends in Special Numbers and Special Functions and Polynomials
, 2015 International Journal of Mathematics and Mathematical Sciences, Volume 2015, Issue 1, 2015.
Serkan Araci +4 more
wiley +1 more source
The Multiple Hurwitz Zeta Function and a Generalization of Lerch's Formula
Tokyo Journal of Mathematics, 2006 The author investigates the multiple Hurwitz zeta-function \[ \zeta_n(s_1,\dots,s_n;a)=\sum_{\substack{ 0 \leq m_1 < \dots0, \;s_1,\dots,s_n \in \mathbb C, \] and its specialization \[ \zeta_n(s;a)=\zeta_n(s,\dots,s;a). \] If \(n=0\), then \(\zeta_0(s;a)=1\). When \(s_1,\dots,s_n\) are positive integers with \(s_n \geq 2\), then the values of \(\zeta_n(
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A new extension of Hurwitz-Lerch Zeta function
, 2018 The main objective of this paper is to introduce a new extension of Hurwitz-Lerch Zeta function in terms of extended beta function. We then investigate its important properties such as integral representations, differential formulas, Mellin transform and certain generating relations.
Rahman, Gauhar +2 more
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A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function [PDF]
, 2019 In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept ...
Firas Ghanim +3 more
core +1 more source
A Review of Certain Modern Special Functions and Their Applications
Abstract and Applied AnalysisThis review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–
Hala Abd Elmageed, Mohamed Abdalla
doaj +1 more source
Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali +4 more
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On a Hurwitz-Lerch zeta type function and its applications
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Prajapat, J. K. +2 more
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