NOTES ON COMPLETE MONOTONICITY RELATED TO THE DIFFERENCE OF THE PSI AND LOGARITHMIC FUNCTIONS

Feng Qi (1, 2, 3) , Ai-Qi Liu (4)

1 Henan Polytechnic University
2 Tianjin Polytechnic University
3 Inner Mongolia University for Nationalities
4 Sanmenxia Polytechnic

In the paper, the authors simply survey complete monotonicity of several functions involving the difference of the psi and logarithmic functions and present a concise proof for complete monotonicity of a function involving the difference of the psi and logarithmic functions.

Mots clés: complete monotonicity; difference; psi function; logarithmic function; concise proof

Domaines: Analyse classique [math.CA]

Feng Qi, Ai-Qi Liu. NOTES ON COMPLETE MONOTONICITY RELATED TO THE DIFFERENCE OF THE PSI AND LOGARITHMIC FUNCTIONS: Difference of the psi and logarithmic functions. 2018. ⟨hal-01728682v1⟩