Artículos de revistas
On the Ramanujan–Lodge harmonic number expansion
Fecha
2015-01-15Registro en:
0096-3003
10.1016/j.amc.2014.11.088
Autor
Mortici, Cristinel
Villarino Bertram, Mark
Institución
Resumen
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.