Logarithmically complete monotonicity of reciprocal arctan function
Abstract
We prove the conjecture stated in F. Qi and R. Agarwal, On complete monotonicity for several classes of functions related to ratios of gamma functions, J. Inequal. Appl. (2019), 1-42, that the function 1/ is logarithmically completely monotonic on (0,∞), but not a Stieltjes transform.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.