Infinite integrals in terms of series
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908678103236608 |
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| author | Reynolds, Robert |
| author_facet | Reynolds, Robert |
| contents | In this work we derive and evaluate some infinite integrals involving the product of a generalized logarithm and polynomial functions in the denominator. These integrals are expressed in terms of finite series involving the Hurwitz-Lerch zeta function. We produce special cases of these integrals in terms of other special functions and fundamental constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19867 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Infinite integrals in terms of series Reynolds, Robert General Mathematics Primary 30E20, 33-01, 33-03, 33-04 In this work we derive and evaluate some infinite integrals involving the product of a generalized logarithm and polynomial functions in the denominator. These integrals are expressed in terms of finite series involving the Hurwitz-Lerch zeta function. We produce special cases of these integrals in terms of other special functions and fundamental constants. |
| title | Infinite integrals in terms of series |
| topic | General Mathematics Primary 30E20, 33-01, 33-03, 33-04 |
| url | https://arxiv.org/abs/2506.19867 |