Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function
arXiv:1403.0278 · doi:10.1016/j.cam.2014.03.004
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.
15 pages