English

Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

Classical Analysis and ODEs 2014-04-01 v1

Abstract

In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically) complete monotonicity of these and related functions. These results extend and generalize some known conclusions.

Keywords

Cite

@article{arxiv.1403.0278,
  title  = {Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function},
  author = {Feng Qi},
  journal= {arXiv preprint arXiv:1403.0278},
  year   = {2014}
}

Comments

15 pages