TY - EJOU
AU - Anis, Mona
AU - Almuashi, Hanan
AU - Mahmoud, Mansour
TI - Complete Monotonicity of Functions Related to Trigamma and Tetragamma Functions
T2 - Computer Modeling in Engineering \& Sciences
PY - 2022
VL - 131
IS - 1
SN - 1526-1506
AB - In this paper, we study the completely monotonic property of two functions involving the function △(x) = and deduce the double inequality
, x > 0

which improve some recent results, where ψ(x) is the logarithmic derivative of the Gamma function. Also, we deduce the completely monotonic degree of a function involving ψ'(x).
KW - Trigamma function; tetragamma function; completely monotonic function; completely monotonic degree; inequality
DO - 10.32604/cmes.2022.016927