Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4627016 | Applied Mathematics and Computation | 2015 | 8 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Cristinel Mortici, Mark B. Villarino,