English

Some properties of the psi and polygamma functions

Classical Analysis and ODEs 2010-08-03 v1

Abstract

In this paper, some monotonicity and concavity results of several functions involving the psi and polygamma functions are proved, and then some known inequalities are extended and generalized.

Keywords

Cite

@article{arxiv.0903.1003,
  title  = {Some properties of the psi and polygamma functions},
  author = {Feng Qi and Bai-Ni Guo},
  journal= {arXiv preprint arXiv:0903.1003},
  year   = {2010}
}

Comments

11 pages

R2 v1 2026-06-21T12:18:42.931Z