Analogs to Ramanujan's Master Theorem and Operational Methods
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916118192455680 |
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| author | Lehmann, Julius |
| author_facet | Lehmann, Julius |
| contents | In this paper, we utilize operational methods to obtain closed-form solutions for certain classes of integrals in the spirit of Ramanujan's Master Theorem and provide several analogs to it. Although the use of operational calculus makes the proofs formal in nature, they can still yield interesting and correct results and may stimulate further rigorous investigations in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05199 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analogs to Ramanujan's Master Theorem and Operational Methods Lehmann, Julius Classical Analysis and ODEs In this paper, we utilize operational methods to obtain closed-form solutions for certain classes of integrals in the spirit of Ramanujan's Master Theorem and provide several analogs to it. Although the use of operational calculus makes the proofs formal in nature, they can still yield interesting and correct results and may stimulate further rigorous investigations in the future. |
| title | Analogs to Ramanujan's Master Theorem and Operational Methods |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2402.05199 |