English

Two monotonic functions involving gamma function and volume of unit ball

Classical Analysis and ODEs 2012-08-21 v1

Abstract

In present paper, we prove the monotonicity of two functions involving the gamma function Γ(x)\Gamma(x) and relating to the nn-dimensional volume of the unit ball Bn\mathbb{B}^n in Rn\mathbb{R}^n.

Keywords

Cite

@article{arxiv.1001.1496,
  title  = {Two monotonic functions involving gamma function and volume of unit ball},
  author = {Feng Qi and Bai-Ni Guo},
  journal= {arXiv preprint arXiv:1001.1496},
  year   = {2012}
}

Comments

7 pages