A note on the Hurwitz-Lerch zeta function
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917839967879168 |
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| author | Reynolds, Robert |
| author_facet | Reynolds, Robert |
| contents | In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_04161 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the Hurwitz-Lerch zeta function Reynolds, Robert General Mathematics Primary 30E20, 33-01, 33-03, 33-04 In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with definite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced. |
| title | A note on the Hurwitz-Lerch zeta function |
| topic | General Mathematics Primary 30E20, 33-01, 33-03, 33-04 |
| url | https://arxiv.org/abs/2411.04161 |