Two characterizations of Sheffer-Dunkl sequences
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916548467228672 |
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| author | Asensi, Alejandro Gil Ceniceros, Judit Minguez |
| author_facet | Asensi, Alejandro Gil Ceniceros, Judit Minguez |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_01364 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two characterizations of Sheffer-Dunkl sequences Asensi, Alejandro Gil Ceniceros, Judit Minguez Classical Analysis and ODEs 11B83, 44A60, 11B68 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. |
| title | Two characterizations of Sheffer-Dunkl sequences |
| topic | Classical Analysis and ODEs 11B83, 44A60, 11B68 |
| url | https://arxiv.org/abs/2501.01364 |