Logarithmically completely monotonic functions related to the q-gamma function and its applications

A Themed Issue on Mathematical Inequalities, Analytic Combinatorics and Related Topics in Honor of Professor Feng Qi

“…Currently, except over 60 preprints and papers by Qi and his coauthors, there have been over 40 papers and preprints whose titles contain the phrases "logarithmically completely monotonic function", "logarithmically complete monotonicity", and "logarithmically completely monotone" by other mathematicians. See, for example, the monographs [191,192] and the papers [198][199][200][201]. Qi pointed out several times that the terminology of the logarithmically completely monotonic function was first used without explicit definition in the paper [202].…”

Monotonicity and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function

“…There have been plenty of literature dedicating to the study and applications of completely monotonic functions, logarithmically completely monotonic functions, and completely monotonic degrees. For better motivation of this paper, we would like to recommend three papers [5][6][7] in 2018, three papers [8][9][10] in 2019, three papers [11][12][13] in 2020, three papers [14][15][16] in 2021, three papers [17][18][19] in 2022, three papers [20][21][22] in 2023, and the newlypublished expository, survey, and review article [23] in 2024.…”