The Generalized Eta Transformation Formulas as the Hecke Modular Relation
AxiomsThe transformation formula under the action of a general linear fractional transformation for a generalized Dedekind eta function has been the subject of intensive study since the works of Rademacher, Dieter, Meyer, and Schoenberg et al.
Nianliang Wang +2 more
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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
, 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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Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk
AxiomsThis work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali +3 more
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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
, 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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Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function [PDF]
, 2015 The Lindelöf-Wirtinger expansion of the Lerch transcendent function implies, as a limiting case, Hurwitz's formula for the eponymous zeta function. A generalized form of Möbius inversion applies to the Lindelöf-Wirtinger expansion and also implies an ...
Navas, L.M. [0000-0002-5742-8679] +2 more
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A Study on Analytic Functions Associated with the Generalized Hurwitz-Lerch zeta Function
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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An extension of the generalized Hurwitz-Lerch Zeta function of two variables
, 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 ...
Junesang Choi, Rakesh Parmar
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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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New inequalities for the Hurwitz zeta function
, 2008 We establish various new inequalities for the Hurwitz zeta function.
Batir, Necdet
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Error bounds for the asymptotic expansion of the Hurwitz zeta function. [PDF]
Proc Math Phys Eng Sci, 2017 Nemes G.
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