On a class of Rainville type generating functions for classical orthogonal polynomials
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916497824153600 |
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| author | Zahaf, Mohammed Brahim Mesk, Mohammed |
| author_facet | Zahaf, Mohammed Brahim Mesk, Mohammed |
| contents | The aim of this work is to characterize all generating functions of the form $A(t)F(xtA(t)-R(t))$ for the classical orthogonal polynomials. Further generating functions are also provided by derivation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16034 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a class of Rainville type generating functions for classical orthogonal polynomials Zahaf, Mohammed Brahim Mesk, Mohammed Classical Analysis and ODEs Functional Analysis 33C45, 33C20, 11B37 The aim of this work is to characterize all generating functions of the form $A(t)F(xtA(t)-R(t))$ for the classical orthogonal polynomials. Further generating functions are also provided by derivation. |
| title | On a class of Rainville type generating functions for classical orthogonal polynomials |
| topic | Classical Analysis and ODEs Functional Analysis 33C45, 33C20, 11B37 |
| url | https://arxiv.org/abs/2409.16034 |