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.
Authors
- Alejandro Gil Asensi (ORCID: https://orcid.org/0009-0007-9667-0744)
- Judit Mínguez Ceniceros (ORCID: https://orcid.org/0000-0002-9840-5772)
Institutions
- Universidad de La Rioja (ES)
Publication Details
- 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
Funders
- Ministerio de Ciencia e Innovación
- Universidad de La Rioja
- Agencia Estatal de Investigación