English

Monotonicity, convexity, and inequalities for functions involving gamma function

Classical Analysis and ODEs 2022-05-26 v1

Abstract

In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some related known results for parameters with specific values.

Keywords

Cite

@article{arxiv.2205.12530,
  title  = {Monotonicity, convexity, and inequalities for functions involving gamma function},
  author = {Peipei Du and Gendi Wang},
  journal= {arXiv preprint arXiv:2205.12530},
  year   = {2022}
}

Comments

17 pages

R2 v1 2026-06-24T11:27:57.256Z