On the Ramanujan–Lodge harmonic number expansion

 

Tallennettuna:
Bibliografiset tiedot
Tekijät: Mortici, Cristinel, Villarino Bertram, Mark
Aineistotyyppi: artículo original
Julkaisupäivä:2015
Kuvaus: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.
Maa:Kérwá
Organisaatio:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/75614
Linkit:https://www.sciencedirect.com/science/article/pii/S0096300314016208
https://hdl.handle.net/10669/75614
Sanahaku:Harmonic numbers
Bernoulli numbers
Asymptotic expansion
Rate of convergence
Approximations
Inequalities
Matemáticas
510 Matemáticas