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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:268

Article

Qi, Feng

关键词: Integral representation;    Complete monotonicity;    Logarithmically completely monotonic function;    Remainder;    Burnside's formula;    Gamma function;   

DOI  :  10.1016/j.cam.2014.03.004

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free