Derivation of some integrals in Gradshteyn and Ryzhik
In this work we present derivations of the formula listed in entry 4.113 in the sixth edition of Gradshteyn and Rhyzik's table of integrals. We evaluate two definite integrals of the formandin terms of the Lerch function where $ k $, $ a $, $ z $ and $ b $ are arbitrary complex numbers. The...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-12-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021109http://www.aimspress.com/article/doi/10.3934/math.2021109 |
| Summary: | In this work we present derivations of the formula listed in entry 4.113 in the sixth edition of Gradshteyn and Rhyzik's table of integrals. We evaluate two definite integrals of the formandin terms of the Lerch function where $ k $, $ a $, $ z $ and $ b $ are arbitrary complex numbers. The entries in the table(s) are obtained as special cases in the paper below. |
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| ISSN: | 2473-6988 |