Feng Qi
Published 2009-04-07Version 1
In this expository and survey paper, along one of main lines of bounding the ratio of two gamma functions, we look back and analyse some inequalities, several complete monotonicity of functions involving ratios of two gamma or $q$-gamma functions, and necessary and sufficient conditions for functions involving ratios of two gamma or $q$-gamma functions to be logarithmically completely monotonic.
Comments: 22 pages
Journal: Feng Qi and Qiu-Ming Luo, Bounds for the ratio of two gamma functions---From Wendel's and related inequalities to logarithmically completely monotonic functions, Banach Journal of Mathematical Analysis 6 (2012), no. 2, 132--158
More supplements to a class of logarithmically completely monotonic functions associated with the gamma function
Some logarithmically completely monotonic functions related to the gamma function
Some completely monotonic functions involving the polygamma functions
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