A note on the universality of Hurwitz-Lerch zeta functions
, 2016 This paper has been withdrawn by the author due to a crucial error in both ...
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Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus [PDF]
, 2014 International audienceAbstract Motivated by the recent investigations of several authors, in this paper, we derive several new expansion formulas involving a generalized Hurwitz-Lerch zeta function introduced and studied recently by Srivastava et al ...
Abdelmejid Bayad +6 more
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Coefficient estimate of bi-Bazilevic function defined by Srivastava-Attiya operator
Le Matematiche, 2014 In this paper, we introduce and investigate two new subclasses of the functionclass\sigma of bi-univalent functions dened in the open unit disk, which are associated with thegeneralized Srivastava-Attiya operator, satisfying subordinate conditions ...
Gangaharan Murugu Sundaramoorthy
doaj
New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function
Filomat, 2017 In view of the relationship with the Kr?tzel function, we derive a new series representation for the ?-generalized Hurwitz-Lerch Zeta function introduced by H.M. Srivastava [Appl. Math. Inf. Sci. 8 (2014) 1485-1500] and determine the monotonicity of its coeficients.
Luo, Min-Jie, Raina, R. K.
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A Study on Analytic Functions Associated with the Generalized Hurwitz-Lerch zeta Function
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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Certain subclasses of starlike functions of complex order involving the Hurwitz-Lerch Zeta function
, 2016 Making use of the Hurwitz-Lerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by \(TS^\mu_b(\alpha, \beta, \gamma)\) and obtain
Murugusundaramoorthy, G., Uma, K.
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A CLASS OF HOLOMORPHIC DIRICHLET-HURWITZ-LERCH EISENSTEIN SERIES AND RAMANUJAN'S FORMULA FOR SPECIFIC VALUES OF THE RIEMANN ZETA-FUNCTION (Analytic Number Theory and Related Topics) [PDF]
, 2022 We show in this paper that complete asymptotic expansions exist for a class of holomorphic Dirichlet-Hurwitz-Lerch Eisenstein series (Theorems 1 and 2), which, together with their remainders in exact form (Theorem 3), naturally transfer to several ...
KATSURADA, MASANORI, NODA, TAKUMI
core
Further Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables [PDF]
Mathematics, 2019 The main aim of this paper is to provide a new generalization of Hurwitz-Lerch Zeta function of two variables. We also investigate several interesting properties such as integral representations, summation formula, and a connection with the generalized hypergeometric function. To strengthen the main results we also consider some important special cases.
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Robustness of Network Controllability with Respect to Node Removals Based on In-Degree and Out-Degree. [PDF]
Entropy (Basel), 2023 Wang F, Kooij RE.
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A note on the Hurwitz-Lerch zeta function
In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.
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