Integral and computational representations of the extended Hurwitz–Lerch zeta function

HM Srivastava, RK Saxena, TK Pogany… - … and Special Functions, 2011 - Taylor & Francis
This article presents a systematic investigation of various integrals and computational
representations for some families of generalized Hurwitz–Lerch Zeta functions which are …

[HTML][HTML] Two-sided inequalities for the extended Hurwitz–Lerch Zeta function

HM Srivastava, D Jankov, TK Pogány… - Computers & Mathematics …, 2011 - Elsevier
Abstract Recently, Srivastava et al.(2011)[2] unified and extended several interesting
generalizations of the familiar Hurwitz–Lerch Zeta function Φ (z, s, a) by introducing a Fox …

Generating relations and other results associated with some families of the extended Hurwitz-Lerch Zeta functions

HM Srivastava - 2013 - Springer
Motivated essentially by recent works by several authors (see, for example, Bin-Saad [Math
J Okayama Univ 49: 37–52, 2007] and Katsurada [Publ Inst Math (Beograd)(Nouvelle Ser) …

An extension of the generalized Hurwitz-Lerch zeta function of two variables

J Choi, RK Parmar - Filomat, 2017 - JSTOR
The main object of this paper is to introduce a new extension of the generalized Hurwitz-
Lerch Zeta functions of two variables. We then systematically investigate such its several …

Geometric Features of the Hurwitz–Lerch Zeta Type Function Based on Differential Subordination Method

FF Abdulnabi, H F. Al-Janaby, F Ghanim, AA Lupaș - Symmetry, 2024 - mdpi.com
The interest in special complex functions and their wide-ranging implementations in
geometric function theory (GFT) has developed tremendously. Recently, subordination …

A new representation for srivastava's λ-generalized hurwitz-lerch zeta functions

A Tassaddiq - Symmetry, 2018 - mdpi.com
Taking inspiration principally from some of the latest research, we develop a new series
representation for the λ-generalized Hurwitz-Lerch zeta functions. This representation led to …

[PDF][PDF] Some properties and results involving the zeta and associated functions

HM Srivastava - Functional Analysis, Approximation and …, 2015 - operator.pmf.ni.ac.rs
In this research-cum-expository article, we aim at presenting a systematic account of some
recent developments involving the Riemann Zeta function ζ (s), the Hurwitz (or generalized) …

Incomplete extended Hurwitz-Lerch Zeta functions and associated properties

RK Parmar, RK Saxena - Communications of the Korean …, 2017 - koreascience.kr
Motivated mainly by certain interesting recent extensions of the generalized hypergeometric
function [Integral Transforms Spec. Funct. 23 (2012), 659-683] by means of the incomplete …

[图书][B] Generalized Mathieu Series

Ž Tomovski, D Leškovski, S Gerhold - 2021 - Springer
The Mathieu series is a functional series, introduced by Émile Léonard Mathieu (1835–
1890) in [91], for the purposes of his research on the elasticity of solid bodies. Bounds for …

New Results for Srivastava's λ-Generalized Hurwitz-Lerch Zeta Function

MJ Luo, RK Raina - Filomat, 2017 - JSTOR
In view of the relationship with the Krätzel function, we derive a new series representation for
the λ-generalized Hurwitz-Lerch Zeta function introduced by HM Srivastava [Appl. Math. Inf …