On the Ramanujan–Lodge harmonic number expansion
Gorde:
| Egileak: | , |
|---|---|
| Formatua: | artículo original |
| Argitaratze data: | 2015 |
| Deskribapena: | 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. |
| Herria: | Kérwá |
| Erakundea: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/75614 |
| Sarrera elektronikoa: | https://www.sciencedirect.com/science/article/pii/S0096300314016208 https://hdl.handle.net/10669/75614 https://doi.org/10.1016/j.amc.2014.11.088 |
| Gako-hitza: | Harmonic numbers Bernoulli numbers Asymptotic expansion Rate of convergence Approximations Inequalities Matemáticas 510 Matemáticas |