On the Ramanujan–Lodge harmonic number expansion
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| Autoři: | , |
|---|---|
| Médium: | artículo original |
| Datum vydání: | 2015 |
| Popis: | The aim of this paper is to extend and refine the Ramanujan–Lodge harmonic number expansion into negative powers of a triangular number. We construct a faster asymptotic series and some new sharp inequalities for the harmonic numbers. |
| Země: | Kérwá |
| Instituce: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/75614 |
| On-line přístup: | https://www.sciencedirect.com/science/article/pii/S0096300314016208 https://hdl.handle.net/10669/75614 |
| Klíčové slovo: | Harmonic numbers Bernoulli numbers Asymptotic expansion Rate of convergence Approximations Inequalities Matemáticas 510 Matemáticas |