A class of logarithmically completely monotonic functions and the best bounds in the second Kershaw's double inequality
作者：
Highlights：
•
摘要
In the article, the sufficient and necessary conditions such that a class of functions which involve the psi function ψ and the ratio Γ(x+t)/Γ(x+s) are logarithmically completely monotonic are established, the best bounds for the ratio Γ(x+t)/Γ(x+s) are given, and some comparisons with known results are carried out, where s and t are two real numbers and x>-min{s,t}.
论文关键词：primary,33B15,44A10,65R10,secondary,26A48,26A51,26D20,Logarithmically completely monotonic function,The second Kershaw's double inequality,Best bound,Gamma function,Psi function,Comparison
论文评审过程：Received 27 September 2006, Revised 20 December 2006, Available online 2 January 2007.
论文官网地址：https://doi.org/10.1016/j.cam.2006.12.022
