Results 21 to 30 of about 107 (92)

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

Mathematics, 2020
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives.
Hiba Al-Janaby, Firas Ghanim, Maslina Darus   +2 more
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Remark on the Hurwitz-Lerch zeta function [PDF]

Fixed Point Theory and Applications, 2013
By the Poisson summation formula, relating a function with its Fourier coefficients, the author obtaines the analytic continuation and a functional relation for a certain Lerch zeta function. The author also deduces \textit{T. M. Apostol}'s result [Pac. J. Math. 1, 161--167 (1951; Zbl 0043.07103)] about the Lerch zeta function and a functional relation
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On a Certain Extension of the Hurwitz-Lerch Zeta Function [PDF]

Annals of West University of Timisoara - Mathematics, 2014
AbstractOur purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential formula, Mellin transforms and certain generating relations.
Parmar Rakesh K., Raina R. K.
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Further generalization of the extended Hurwitz-Lerch Zeta functions

Boletim da Sociedade Paranaense de Matemática, 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. Then we investigate certain interesting and (potentially) useful properties, systematically, of the generalization of the extended Hurwitz-Lerch Zeta functions, for example ...
Rakesh K. Parmar, Junesang Choi, Sunil Dutt Purohit   +2 more
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Applications of the Hurwitz-Lerch Zeta-Function [PDF]

Pure and Applied Mathematics Journal, 2015
In this paper, we shall exhibit the use of two principles, “principle of decomposition into residue classes” and “binomial principle of analytic continuation” due to Ram Murty and Sinha and indicate a certain distribution property and the functional equation for the Lipschitz-Lerch transcendent at integral arguments ofs.
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Certain Integral Operator Related to the Hurwitz–Lerch Zeta Function [PDF]

Journal of Complex Analysis, 2018
The aim of the present paper is to investigate several third-order differential subordinations, differential superordination properties, and sandwich-type theorems of an integral operator Ws,bf(z) involving the Hurwitz–Lerch Zeta function. We make some applications of the operator Ws,bf(z) for meromorphic functions.
Xiao-Yuan Wang, Lei Shi, Zhi-Ren Wang
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Two-sided inequalities for the extended Hurwitz–Lerch Zeta function

Computers & Mathematics with Applications, 2011
Recently, Srivastava et al \cite{; ; SSPS}; ; unified and extended several interesting generali-zations of the familiar Hurwitz-Lerch Zeta function $\Phi(z, s, a)$ by introducing a Fox-Wright type generalized hypergeometric function in the kernel.
H. M. Srivastava 0001, Dragana Jankov, Tibor K. Pogány, Ram K. Saxena   +3 more
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Some Properties of Meromorphic Functions Defined by the Hurwitz–Lerch Zeta Function

Mathematics
The findings of this study are connected with geometric function theory and were acquired using subordination-based techniques in conjunction with the Hurwitz–Lerch Zeta function.
Ekram E. Ali, Rabha M. El-Ashwah, Nicoleta Breaz, Abeer M. Albalahi   +3 more
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New Expansion Formulas for a Family of the λ-Generalized Hurwitz-Lerch Zeta Functions

International Journal of Mathematics and Mathematical Sciences, 2014
We derive several new expansion formulas for a new family of the λ-generalized Hurwitz-Lerch zeta functions which were introduced by Srivastava (2014).
H. M. Srivastava, Sébastien Gaboury
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Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
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