English

A Quadratic Harmonic Approximation

Classical Analysis and ODEs 2022-04-21 v1

Abstract

We obtain the quadratic term in Euler's asymptotic expansion of the nth harmonic number by a simple modification of Young's elementary determination of the linear term.

Keywords

Cite

@article{arxiv.2204.09226,
  title  = {A Quadratic Harmonic Approximation},
  author = {Mark B. Villarino},
  journal= {arXiv preprint arXiv:2204.09226},
  year   = {2022}
}