New Trends on Analytic Function Theory
, 2019 Journal of Complex Analysis, Volume 2019, Issue 1, 2019.
Serap Bulut +2 more
wiley +1 more source
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
Subclass of Analytic Functions Connected with Double Zeta Function
, 2022 In this survey-cum-expository work, we primarily seek to study many families of the renowned Hurwitz–Lerch Zeta mapping, including the so-called generalized Hurwitz–Lerch Zeta mappings.
vd., Altınkaya, Şahsene
core +2 more sources
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(
openaire +3 more sources
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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Jackson's integral of multiple Hurwitz–Lerch zeta functions and multiple gamma functions [PDF]
Journal of Mathematical Analysis and Applications, 2018 Using the Jackson integral, we obtain the $q$-integral analogue of the Raabe type formulas for Barnes multiple Hurwitz-Lerch zeta functions and Barnes and Vardi's multiple gamma functions. Our results generalize $q$-integral analogue of the Raabe type formulas for the Hurwitz zeta functions and log gamma functions in [N. Kurokawa, K.
Su Hu, Daeyeoul Kim, Min-Soo Kim
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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
core +1 more source
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
core
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
core
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