On extended Hurwitz–Lerch zeta function
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.11.046
Abstract: Abstract This paper investigates an extended form of a beta function B p , q ( x , y ) . We first study the convergence problem of the function B p , q (… read more here.
Keywords: zeta function; hurwitz lerch; extended hurwitz; lerch zeta ... See more keywords
An Extension of the Generalized Hurwitz-Lerch Zeta Function of Two Variables
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DOI: 10.2298/fil1701091c
Abstract: 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 interesting properties and related formulas as (for… read more here.
Keywords: hurwitz lerch; two variables; lerch zeta; extension generalized ... See more keywords
The Approximation of Analytic Functions Using Shifts of the Lerch Zeta-Function in Short Intervals
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DOI: 10.3390/axioms14060472
Abstract: In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(0,1], are considered. If the set {log(m+α):m∈N0}… read more here.
Keywords: approximation analytic; function; analytic functions; lerch zeta ... See more keywords
Some Difference Equations for Srivastava's λ-Generalized Hurwitz-Lerch Zeta Functions with Applications
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DOI: 10.3390/sym11030311
Abstract: In this article, we establish some new difference equations for the family of λ-generalized Hurwitz–Lerch zeta functions. These difference equations proved worthwhile to study these newly defined functions in terms of simpler functions. Several authors… read more here.
Keywords: difference equations; zeta functions; hurwitz lerch; difference ... See more keywords
Integral transform of product of generalized k-Bessel function and generalized Hurwitz-Lerch Zeta function
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DOI: 10.47974/jim-2038
Abstract: The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,α k,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σ ξ,η (z, s, d) are obtained and presented in terms… read more here.
Keywords: product generalized; function; hurwitz lerch; lerch zeta ... See more keywords