Results 41 to 50 of about 107 (92)
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 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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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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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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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 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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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
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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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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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