Results 111 to 120 of about 26,951 (214)

Geometric Studies on Inequalities of Harmonic Functions in a Complex Field Based on ξ-Generalized Hurwitz-Lerch Zeta Function

Iranian Journal of Mathematical Sciences and Informatics, 2023
H. Al-Janaby, F. Ghanim, P. Agarwal
semanticscholar   +1 more source

On the taylor expansion of the Lerch zeta-function

Journal of Mathematical Analysis and Applications, 1992
The Lerch zeta function is the analytic continuation in the complex \(s\) plane of the series \[ L(x,a,s)=\sum_{n\geq 0}\exp\{2\pi inx\}(n+a)^{- s}, \] where \(x\) and \(a\) are real parameters. Properties of this function are deduced from its Taylor expansion in the parameter \(a\).
openaire   +2 more sources

``Almost'' universality of the Lerch zeta-function

Mathematical Communications, 2019
Summary: The Lerch zeta-function \(L(\lambda,\alpha,s)\) with transcendental parameter \(\alpha\), or with rational parameters \(\alpha\) and \(\lambda\) is universal, i.e., a wide class of analytic functions is approximated by shifts \(L(\lambda,\alpha,s+i\tau)\), \(\tau \in \mathbb{R}\). The case of algebraic irrational \(\alpha\) is an open problem.
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Functional distribution for a collection of Lerch zeta functions

Journal of the Mathematical Society of Japan, 2014
Let \(L(\lambda ,\alpha ,s)=\sum _{n=0}^{\infty }\frac{e^{2\pi {\kern 1pt} i\lambda n{\kern 1pt} } }{(n+\alpha )^{s} } \) be the Lerch zeta function. Motivated by some results of \textit{A. Laurinčikas} [Lith. Math. J. 37, No. 3, 275--280 (1997); translation from Liet. Mat. Rink. 37, No.
openaire   +3 more sources

Joint discrete universality for Lerch zeta-functions

, 2018
Summary: After \textit{S. M. Voronin}'s work of [Math. USSR, Izv. 9, 443--453 (1976); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 39, 475--486 (1975; Zbl 0315.10037)], it is known that some of zeta and \(L\)-functions are universal in the sense that their shifts approximate a wide class of analytic functions.
Laurinčikas, Antanas, Mincevič, Asta
openaire   +1 more source

Transcriptome-Based WGCNA Analysis Reveals Regulated Metabolite Fluxes between Floral Color and Scent in Narcissus tazetta Flower. [PDF]

Int J Mol Sci, 2021
Yang J, Ren Y, Zhang D, Chen X, Huang J, Xu Y, Aucapiña CB, Zhang Y, Miao Y.   +8 more
europepmc   +1 more source

Note on the Lerch zeta function [PDF]

Pacific Journal of Mathematics, 1956
openaire   +3 more sources

Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu Transform

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
Oguz Yagci, R. Sahin
semanticscholar   +1 more source

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

Springerplus, 2013
M HS.
europepmc   +1 more source

A note on a generalized double series. [PDF]

PLoS One
Reynolds R.
europepmc   +1 more source