%A 祁锋 %T COMPLETE MONOTONICITY FOR A NEW RATIO OF FINITELY MANY GAMMA FUNCTIONS %0 Journal Article %D 2022 %J 数学物理学报(英文版) %R 10.1007/s10473-022-0206-9 %P 511-520 %V 42 %N 2 %U {http://121.43.60.238/sxwlxbB/CN/abstract/article_16667.shtml} %8 2022-04-25 %X In this paper, by deriving an inequality involving the generating function of the Bernoulli numbers, the author introduces a new ratio of finitely many gamma functions, finds complete monotonicity of the second logarithmic derivative of the ratio, and simply reviews the complete monotonicity of several linear combinations of finitely many digamma or trigamma functions.