English

Logarithmically Complete Monotonicity of Certain Ratios Involving the $k$-Gamma Function

General Mathematics 2019-02-08 v1

Abstract

In this paper, we prove logarithmically complete monotonicity properties of certain ratios of the kk-gamma function. As a consequence, we deduce some inequalities involving the kk-gamma and kk-trigamma functions.

Keywords

Cite

@article{arxiv.1902.02644,
  title  = {Logarithmically Complete Monotonicity of Certain Ratios Involving the $k$-Gamma Function},
  author = {Kwara Nantomah and Li Yin},
  journal= {arXiv preprint arXiv:1902.02644},
  year   = {2019}
}

Comments

8 pages

R2 v1 2026-06-23T07:34:36.641Z