Completely and logarithmically completely monotone functions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909817096896512 |
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| author | Szabó, V. E. Sándor |
| author_facet | Szabó, V. E. Sándor |
| contents | We simplify the proof of some widely used theoretical theorems, extending their applicability, while correcting some erroneous results. We also generalize key results and present new results that contribute to the development of the theory. Furthermore, we use the results obtained to investigate the monotonicity properties of some specific functions related to the Gamma function. Finally, we formulate an open problem related to the psi function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_17670 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Completely and logarithmically completely monotone functions Szabó, V. E. Sándor Classical Analysis and ODEs 44A10 (Primary) 44A20 (Secondary) We simplify the proof of some widely used theoretical theorems, extending their applicability, while correcting some erroneous results. We also generalize key results and present new results that contribute to the development of the theory. Furthermore, we use the results obtained to investigate the monotonicity properties of some specific functions related to the Gamma function. Finally, we formulate an open problem related to the psi function. |
| title | Completely and logarithmically completely monotone functions |
| topic | Classical Analysis and ODEs 44A10 (Primary) 44A20 (Secondary) |
| url | https://arxiv.org/abs/2411.17670 |