On the Ramanujan–Lodge harmonic number expansion

 

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Autoren: Mortici, Cristinel, Villarino Bertram, Mark
Format: artículo original
Publikationsdatum:2015
Beschreibung: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.
Land:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/75614
Online Zugang:https://www.sciencedirect.com/science/article/pii/S0096300314016208
https://hdl.handle.net/10669/75614
Stichwort:Harmonic numbers
Bernoulli numbers
Asymptotic expansion
Rate of convergence
Approximations
Inequalities
Matemáticas
510 Matemáticas