Series involving rational, factorial and power functions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916240329539584 |
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| author | Reynolds, Robert |
| author_facet | Reynolds, Robert |
| contents | This is an anthology of series involving rational, factorial, and power functions expressed in terms of special functions. New finite expansions involving quotient functions expressed in terms of the Hurwitz-Lerch zeta function are given. These results represent a new form of expressing this special function as a finite series where contour integration is required for derivation. Extended series previously known and derived are extended using differential equations and algebraic methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05810 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Series involving rational, factorial and power functions Reynolds, Robert General Mathematics Primary 30E20, 33-01, 33-03, 33-04 This is an anthology of series involving rational, factorial, and power functions expressed in terms of special functions. New finite expansions involving quotient functions expressed in terms of the Hurwitz-Lerch zeta function are given. These results represent a new form of expressing this special function as a finite series where contour integration is required for derivation. Extended series previously known and derived are extended using differential equations and algebraic methods. |
| title | Series involving rational, factorial and power functions |
| topic | General Mathematics Primary 30E20, 33-01, 33-03, 33-04 |
| url | https://arxiv.org/abs/2405.05810 |