Results 51 to 60 of about 917 (128)
A Study of a Certain Subclass of Hurwitz‐Lerch‐Zeta Function Related to a Linear Operator
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 By using a linear operator with Hurwitz‐Lerch‐Zeta function, which is defined here by means of the Hadamard product (or convolution), the author investigates interesting properties of certain subclasses of meromorphically univalent functions in the punctured unit disk U*.
F. Ghanim, Mohamed Amal Aouf
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Some New Results Involving the Generalized Bose–Einstein and Fermi–Dirac Functions
Axioms, 2019 In this paper, we obtain a new series representation for the generalized Bose−Einstein and Fermi−Dirac functions by using fractional Weyl transform.
Rekha Srivastava +3 more
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Series Representations at Special Values of Generalized Hurwitz‐Lerch Zeta Function
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 By making use of some explicit relationships between the Apostol‐Bernoulli, Apostol‐Euler, Apostol‐Genocchi, and Apostol‐Frobenius‐Euler polynomials of higher order and the generalized Hurwitz‐Lerch zeta function as well as a new expansion formula for the generalized Hurwitz‐Lerch zeta function obtained recently by Gaboury and Bayad , in this paper we ...
S. Gaboury, A. Bayad, Junesang Choi
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New Trends on Analytic Function Theory
, 2019 Journal of Complex Analysis, Volume 2019, Issue 1, 2019.
Serap Bulut +2 more
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, 2018 In this article, by making use of the linear operator introduced and studied by Srivastava and Attiya \cite{srivastava1}, suitable classes of admissible functions are investigated and the dual properties of the third-order differential subordinations are
Gochhayat, P. +2 more
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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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Hurwitz-Lerch Type Multi-Poly-Cauchy Numbers
Mathematics, 2019 In this paper, we define Hurwitz–Lerch multi-poly-Cauchy numbers using the multiple polylogarithm factorial function. Furthermore, we establish properties of these types of numbers and obtain two different forms of the explicit formula using ...
Noel Lacpao +2 more
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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
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A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties
, 2018 In this paper, we define a (p,v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81–106]. We obtain its basic properties which include integral representations, Mellin transformation, derivative formulas and certain generating relations.
Gauhar Rahman, KS Nisar, Shahid Mubeen
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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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