Generalizations of the Lerch zeta function. [PDF]
The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and analogues of the Lerch zeta function. Our approaches proceed along three directions: local,
Ngo, Hieu T.
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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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Partial Sums of Generalized Class of Analytic Functions Involving Hurwitz-Lerch Zeta Function
Abstract and Applied Analysis, 2011 Let fn(z)=z+∑k=2nakzk be the sequence of partial sums of the analytic function f(z)=z+∑k=2∞akzk. In this paper, we determine sharp lower bounds for ℜ{f(z)/fn(z)}, ℜ{fn(z)/f(z)}, ℜ{f′(z)/fn′(z)}, and ℜ{fn′(z)/f′(z)}.
G. Murugusundaramoorthy +2 more
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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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Value distribution of Lerch and periodic Hurwitz Zeta-functions. [PDF]
, 2018 In this dissertation the Lerch zeta-function, its derivative and the periodic Hurwitz zeta-function are studied. These functions are generalizations of the famous Riemann zeta-function.
Tamošiūnas, Rokas,
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A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function [PDF]
, 2019 In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept ...
Al-Janaby, Hiba F., Ghanim, Firas
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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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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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Further generalization of the extended Hurwitz-Lerch Zeta functions
, 2017 Recently various extensions of Hurwitz-Lerch Zeta functions have been investigated. Here, we first introduce a further generalization of the extended Hurwitz-Lerch Zeta functions.
Junesang Choi +2 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].
Gauhar Rahman, KS Nisar, Shahid Mubeen
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