Multiple Lerch Zeta Functions and an Idea of Ramanujan
, 2018 In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalizing an elegant identity of Ramanujan. Further, we describe the set of all possible singularities of these functions.
Saha, Biswajyoti +3 more
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New Expansion Formulas for a Family of the -Generalized Hurwitz-Lerch Zeta Functions [PDF]
, 2020 We derive several new expansion formulas for a new family of the -generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014). These expansion formulas are obtained by making use of some important fractional calculus theorems such
Sébastien Gaboury, H M Srivastava
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Desingularization of multiple zeta-functions of generalized Hurwitz-Lerch type and evaluation of $p$-adic multiple $L$-functions at arbitrary integers (Various aspects of multiple zeta values) [PDF]
, 2017 "Various aspects of multiple zeta values". July 23～26, 2013. edited by Kentaro Ihara. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.We study analytic properties of multiple zeta-functions of generalized ...
Komori, Yasushi +3 more
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A Study on Analytic Functions Associated with the Generalized Hurwitz-Lerch zeta Function [PDF]
In this study, we introduce and investigate new subclasses of analytic functions that are closely related to the generalized Hurwitz-Lerch zeta function.
Abubaker, Afaf A
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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function [PDF]
, 2010 Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
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Some topics related to Hurwitz–Lerch zeta functions
, 2010 MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」In this paper, we consider multiplication formulas and their inversion formulas for Hurwitz-Lerch zeta functions.
中村, 隆, Nakamura, Takashi
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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function [PDF]
, 2016 Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
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A note on the universality of Hurwitz-Lerch zeta functions
, 2016 This paper has been withdrawn by the author due to a crucial error in both ...
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, 2002 The Lerch zeta-function is the first monograph on this topic, which is a generalization of the classic Riemann, and Hurwitz zeta-functions. Although analytic results have been presented previously in various monographs on zeta-functions, this is the ...
Laurinčikas, Antanas +1 more
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Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function
, 2012 It is demonstrated that the alternating Lipschitz-Lerch zeta function and the alternating Hurwitz zeta function constitute a discrete Fourier transform pair.
Cvijović, Đurđe
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