Results 51 to 60 of about 1,068 (177)

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

, 2021
Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification and solving many significant problems of astrophysics and physics.
Yağcı, Oğuz
core   +2 more sources

A transformation formula related to Dirichlet L-functions with principal character

Lietuvos Matematikos Rinkinys, 2012
We prove a transformation formula for the function for the exponential sum involving the divisor function. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with principal ...
Aidas Balčiūnas
doaj   +1 more source

A Review of Certain Modern Special Functions and Their Applications

Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.
This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric functions.
Hala Abd Elmageed, Mohamed Abdalla, AbdelMaksoud Soliman   +2 more
wiley   +1 more source

Explicit height estimates for CM curves of genus 2

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García   +2 more
wiley   +1 more source

Riemann-Siegel integral formula for the Lerch zeta function

, 2011
Here we present a Riemann-Siegel integral formula for the Lerch zeta function. Proceeding as in Turing’s method for computing the Riemann zeta function, our integral formula allows for the numerical computation of the Lerch zeta function by numerical ...
Jorge Sánchez-Ortiz, Eugenio Balanzario
core   +1 more source

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, Volume 65, Issue 8-9, October 2025.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

On the mean square of Lerch zeta-functions [PDF]

Archiv der Mathematik, 2003
Für \(01) \] definiert und besitzt eine analytische Fortsetzung in ganz \({\mathbb C}\) bis auf höchstens einen einfachen Pol bei \(s=1\). Aus der bekannten Funktionalgleichung dieser Funktion haben die Verff. eine approximative Funktionalgleichung abgeleitet [An approximate functional equation for the Lerch zeta-function, Math.
Garunkštis, R., Laurinčikas, A., Steuding, J.   +2 more
openaire   +1 more source

The Cotangent Function as an Avatar of the Polylogarithm Function of Order 0 and Ramanujan’s Formula

Axioms
In this paper we will be concerned with zeta-symmetry—the functional equation for the (Riemann) zeta-function (equivalents to which are called modular relations)—and reveal the reason why so many results are intrinsic to PFE (Partial Fraction Expansion ...
Ruiyang Li, Haoyang Lu, Shigeru Kanemitsu   +2 more
doaj   +1 more source

Inequalities for Lerch transcendent function [PDF]

, 2023
Some fundamental inequalities for Lerch transcendent function with positive terms by utilising certain classical results due to Hölder, Čebyšev, Grüss and others, are established. Some particular cases of interest for Polylogarithm function, Hurwitz zeta
Silvestru Sever Dragomir, Dragomir, Sever S   +1 more
core   +1 more source

Mobility patterns in Austrian and Italian municipalities in the decade before and during the COVID‐19 era

Population, Space and Place, Volume 31, Issue 1, January 2025.
Abstract In European countries, where the demographic transition has reached advanced stages and the natural increase has fallen below zero, migration constitutes a significant component of local population change. We investigate to what extent the dynamics of international migration and internal mobility changed during the first waves of the COVID‐19 ...
Daniela Ghio, Anne Goujon, Claudio Bosco
wiley   +1 more source