Two characterizations of Sheffer-Dunkl sequences of polynomials

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.

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Journal
Numerical Algorithms
Published
2025-06-27
DOI
https://doi.org/10.1007/s11075-025-02146-1
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
0.00

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article

Two characterizations of Sheffer-Dunkl sequences of polynomials

Alejandro Gil Asensi, Judit Mínguez Ceniceros
Numerical Algorithms
Mathematical Analysis and Transform Methods
article

Two characterizations of Sheffer-Dunkl sequences of polynomials

Alejandro Gil Asensi, Judit Mínguez Ceniceros
article en

Abstract

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.

Numerical Algorithms
Universidad de La Rioja (ES)
Ministerio de Ciencia e Innovación, Universidad de La Rioja, Agencia Estatal de Investigación
Openalex Percentile: Top 78%
Mathematical Analysis and Transform Methods
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