Results 61 to 70 of about 311 (130)
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 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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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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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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Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions [PDF]
, 2010 It was shown that numerous (known and new) results involving various special functions, such as the Hurwitz and Lerch zeta functions and Legendre chi function, could be established in a simple, general and unified manner.
Cvijović, Djurdje, Cvijović, Đurđe
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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
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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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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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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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