Results 21 to 30 of about 28,649 (209)

Series Representations at Special Values of Generalized Hurwitz-Lerch Zeta Function

Abstract and Applied Analysis, 2013
By making use of some explicit relationships between the Apostol-Bernoulli, Apostol-Euler, Apostol-Genocchi, and Apostol-Frobenius-Euler polynomials of higher order and the generalized Hurwitz-Lerch zeta function as well as a new expansion formula for ...
S. Gaboury, A. Bayad
doaj   +3 more sources

A Double Integral Containing the Fresnel Integral Function Sx: Derivation and Computation

Journal of Mathematics, 2022
A two-dimensional integral containing Sx is derived.
Robert Reynolds, Allan Stauffer
doaj   +2 more sources

Growth of the Lerch zeta-function [PDF]

Lithuanian Mathematical Journal, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramunas Garunkštis
exaly   +3 more sources

On extended Hurwitz–Lerch zeta function

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Luo, R. K. Parmar, R. K. Raina
semanticscholar   +3 more sources

A Double Logarithmic Transform Involving the Exponential and Polynomial Functions Expressed in Terms of the Hurwitz-Lerch Zeta Function

Symmetry, 2021
The object of this paper is to derive a double integral in terms of the Hurwitz–Lerch zeta function. Almost all Hurwitz–Lerch zeta functions have an asymmetrical zero-distribution. Special cases are evaluated in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
semanticscholar   +2 more sources

A limit theorem for the Lerch zeta-function

Lietuvos Matematikos Rinkinys, 2000
There is not abstract.
Jolita Ignatavičiūtė
doaj   +6 more sources

Extended Levett trigonometric series. [PDF]

PLoS ONE
An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3.
Robert Reynolds
doaj   +2 more sources

Asymptotic expansions of the Hurwitz–Lerch zeta function

Journal of Mathematical Analysis and Applications, 2004
In the paper, a generalization of the asymptotic expansions obtained by \textit{M.~Katsurada} [Proc.~Japan Acad. 74, No. 10, 167--170 (1998; Zbl 0937.11035)] and \textit{D.~Klusch} [J.~Math. Anal. Appl. 170, No. 2, 513--523 (1992; Zbl 0763.11036)] for the Lipschitz-Lerch zeta function \[ R(a, x, s)\equiv\sum_{k=0}^\infty {e^{2k\pi ix}\over (a+k)^s ...
JOSÉ L Lopez
exaly   +3 more sources

THE BOUNDARY LERCH ZETA-FUNCTION AND SHORT CHARACTER SUMS À LA Y. YAMAMOTO

Kyushu Journal of Mathematics, 2020
. As has been pointed out by Chakraborty et al (Seeing the invisible: around generalized Kubert functions. Ann. Univ. Sci. Budapest. Sect. Comput. 47 (2018), 185–195), there have appeared many instances in which only the imaginary part—the odd part—of ...
Xiaohan-H. Wang, J. Mehta, S. Kanemitsu
semanticscholar   +2 more sources

On zeros of the Lerch zeta-function. III

Lietuvos Matematikos Rinkinys, 1999
There is not abstract.
Ramūnas Garunkštis
doaj   +5 more sources