Two characterizations of Sheffer-Dunkl sequences
Classical Analysis and ODEs
2025-01-03 v1
Abstract
Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe. In this paper we establish two Stieltjes integrals that help us to characterize the Sheffer-Dunkl polynomials.
Keywords
Cite
@article{arxiv.2501.01364,
title = {Two characterizations of Sheffer-Dunkl sequences},
author = {Alejandro Gil Asensi and Judit Minguez Ceniceros},
journal= {arXiv preprint arXiv:2501.01364},
year = {2025}
}