On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866911307549114368 |
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| author | González-Santander, J. L. |
| author_facet | González-Santander, J. L. |
| contents | We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided. As a byproduct new summation formulas involving finite sums involving the psi function, or a recursive formula for the Bateman's G function are derived. Finally, all the results have been numerically checked with MATHEMATICA. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas González-Santander, J. L. Classical Analysis and ODEs 33C05, 33C10, 33C15, 33C20, 33B15, 33B20 We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided. As a byproduct new summation formulas involving finite sums involving the psi function, or a recursive formula for the Bateman's G function are derived. Finally, all the results have been numerically checked with MATHEMATICA. |
| title | On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas |
| topic | Classical Analysis and ODEs 33C05, 33C10, 33C15, 33C20, 33B15, 33B20 |
| url | https://arxiv.org/abs/2508.13897 |