Results 91 to 100 of about 917 (128)

Further results related to generalized Hurwitz-Lerch zeta function and their applications

AIP Conference Proceedings, 2016
In this paper, we study a certain class of generalized Hurwitz-Lerch zeta functions. A new and useful property of the generalized Hurwitz-Lerch zeta functions such that their partial differential equations are derived.
Khalied Challab, M. Darus, F. Ghanim
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RELATIONS AND IDENTITIES DUE TO DOUBLE SERIES ASSOCIATED WITH GENERAL HURWITZ-LERCH TYPE ZETA FUNCTIONS

jnanabha, 2023
In this paper, we introduce certain families of double series associated with general Hurwitz-Lerch type Zeta functions and then derive their summation formulae, series and integral identities. Again then using these identities, we obtain various known and unknown results and hypergeometric generating relations.
Hemant Kumar, R. C. Singh Chandel
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An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination

Integral Transforms and Special Functions, 2007
The main object of this article is to introduce and investigate an integral operator J s, b (f) defined, by using the Hurwitz–Lerch Zeta function, on the various subclasses of the class of normalized analytic functions f in the open unit disk 𝕌.
H. M. Srivastava, A. A. Attiya
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Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions

Integral Transforms and Special Functions, 2006
The main object of this paper is to further investigate the generalized Apostol–Bernoulli polynomials of higher order, which were introduced and studied recently by Luo and Srivastava [2005, Journal of Mathematical Analysis and Applications, 308, 290–302; 2006, Computers and Mathematics with Applications, 51, 631–642]. Here, we first derive an explicit
Mridula Garg, Kumkum Jain, H. M. Srivastava   +2 more
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The Hurwitz Zeta Function and the Lerch Zeta Function

2017
In this chapter we will discuss formulas we have developed for the evaluation of certain zeta functions. We will need them later for the numerical computation of the spectrum of the transfer operator. The implementations of these zeta functions are in a sense the heart of our computations, so we need to be very careful.
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Some families of the Hurwitz–Lerch Zeta functions and associated fractional derivative and other integral representations

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Shy-Der, Srivastava, H. M.
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Riemann, Hurwitz and Hurwitz-Lerch Zeta Functions and Associated Series and Integrals

2012
The main object of this article is to present a survey-cum-expository account of some recent developments involving the Riemann Zeta function \(\zeta (s)\), the Hurwitz (or generalized) Zeta function \(\zeta (s,a)\), and the Hurwitz-Lerch Zeta function \(\Phi (z,s,a)\) as well as its various interesting extensions and generalizations.
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RELATIONS AND IDENTITIES VIA CONTOUR INTEGRAL REPRESENTATIONS INVOLVING HURWITZ-LERCH ZETA TYPE FUNCTIONS FOR TWO VARIABLE SRIVASATAVA-DAOUST FUNCTIONS

Jnanabha, 2021
In this paper, we derive certain relations of the series of two variable Srivastava-Daoust functions with some known Mittag- Leffler and hypergeometric functions of two variables. Again, by these functions we obtain certain identities with other integral representations also.
Hemant Kumar, R. C. Singh Chandel
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The universality for linear combinations of Lerch zeta functions and the Tornheim–Hurwitz type of double zeta functions

Monatshefte für Mathematik, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Incomplete Poly-Bernoulli Numbers and Incomplete Poly-Cauchy Numbers Associated to the q-Hurwitz–Lerch Zeta Function

Mediterranean Journal of Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Komatsu, Takao, Ramírez, José L.
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