The interest in special complex functions and their wide-ranging implementations in geometric function theory (GFT) has developed tremendously. Recently, subordination theory has been instrumentally employed for special functions to explore their ...
Firas Ghanim +3 more
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The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
AxiomsIn this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered.
Antanas Laurinčikas
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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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MathematicsWe consider the N-tuple Hurwitz-Lerch zeta function introduced by Srivastava and Choi, ζN(s,x,λ)=∑k1,…,kN≥0λk1+⋯+kN(x+k1+⋯+kN)s, where N is a positive integer and λ is a complex parameter.
Damla Gun +2 more
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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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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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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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Error bounds for the asymptotic expansion of the Hurwitz zeta function. [PDF]
Proc Math Phys Eng Sci, 2017 Nemes G.
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Proceedings of the World Molecular Imaging Congress 2021, October 5-8, 2021: General Abstracts. [PDF]
Mol Imaging Biol, 2021 europepmc +1 more source
Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions. [PDF]
Springerplus, 2013 M HS.
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