Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions
type: Item
instance of: scholarly article
title: Appell-Dunkl sequences and Hurwitz-Dunkl zeta functions
author: Alejandro Gil Asensi
author: Juan Luis Varona
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-12-20T00:00:00Z
Mathematics Subject Classification ID: 33Cxx
Mathematics Subject Classification ID: 11Mxx
Mathematics Subject Classification ID: 11Bxx
zbMATH DE Number: 7634997
zbMATH Keywords: Appell-Dunkl polynomials
zbMATH Keywords: Mellin transform
zbMATH Keywords: Hurwitz-Dunkl zeta function
zbMATH Keywords: Lerch-Dunkl zeta function
zbMATH Keywords: Bernoulli-Dunkl polynomials
zbMATH Keywords: Euler-Dunkl polynomials
MaRDI profile type: Publication
full work available at URL: j.jmaa.2022.126870
OpenAlex ID: W4309293787
cites work: The zeta function constructed from the zeros of the Bessel function
cites work: Q3483793
cites work: On the Lerch zeta function
cites work: Q4101884
cites work: High precision computation of Riemann’s zeta function by the Riemann-Siegel formula, I
cites work: On the exact location of the non-trivial zeros of Riemann's zeta function
cites work: Reduction and duality of the generalized Hurwitz-Lerch zetas
cites work: Values of twisted Barnes zeta functions at negative integers
cites work: Dunkl–Appelld-orthogonal polynomials
cites work: Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials
cites work: Q4170993
cites work: Bernoulli-Dunkl and Apostol-Euler-Dunkl polynomials with applications to series involving zeros of Bessel functions
cites work: Bernoulli-Dunkl and Euler-Dunkl polynomials and their generalizations
cites work: Nonlocal operational calculi for Dunkl operators
cites work: Differential-Difference Operators Associated to Reflection Groups
cites work: Fourier-Dunkl system of the second kind and Euler-Dunkl polynomials
cites work: Discrete Appell-Dunkl sequences and Bernoulli-Dunkl polynomials of the second kind
cites work: Q4320535
cites work: Special values and integral representations for the Hurwitz-type Euler zeta functions
cites work: Harmonic analysis associated with the one-dimensional Dunkl transform
cites work: Appell polynomials as values of special functions
cites work: A note on Appell sequences, Mellin transforms and Fourier series
cites work: Q4317810
cites work: Q4432377
cites work: A positive radial product formula for the Dunkl kernel
cites work: Singularities of bessel‐zeta functions and Hawkins' polynomials
cites work: Riesz transform and Riesz potentials for Dunkl transform
cites work: Q5846799
cites work: Special Values of the Lerch Zeta Function and the Evaluation of Certain Integrals
DOI: 10.1016/J.JMAA.2022.126870
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7634997