Double integral of logarithm and exponential function expressed in terms of the Lerch function
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866916762156531712 |
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| author | Reynolds, Robert Stauffer, Allan |
| author_facet | Reynolds, Robert Stauffer, Allan |
| contents | In this work the authors use their contour integral method to derive a double integral connected to the modified Bessel function of the second kind and express it in terms of the Lerch function. There are some useful results relating double integrals of certain kinds of functions to ordinary integrals for which we know no general reference. Thus a table of integral pairs is given for interested readers. The majority of the results in this work are new. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_03551 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Double integral of logarithm and exponential function expressed in terms of the Lerch function Reynolds, Robert Stauffer, Allan General Mathematics 30-02, 30D10, 30D30, 30E20, 11M35, 11M06, 01A55 In this work the authors use their contour integral method to derive a double integral connected to the modified Bessel function of the second kind and express it in terms of the Lerch function. There are some useful results relating double integrals of certain kinds of functions to ordinary integrals for which we know no general reference. Thus a table of integral pairs is given for interested readers. The majority of the results in this work are new. |
| title | Double integral of logarithm and exponential function expressed in terms of the Lerch function |
| topic | General Mathematics 30-02, 30D10, 30D30, 30E20, 11M35, 11M06, 01A55 |
| url | https://arxiv.org/abs/2106.03551 |