Title of article :
A complete monotonicity property
of the gamma function
Author/Authors :
Feng Qi، نويسنده , , Chaoping Chen، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2004
Abstract :
A logarithmically completely monotonic function is completely monotonic. The function 1 − ln x + 1
x lnΓ (x + 1) is strictly completely monotonic on (0,∞). The function √x Γ (x + 1)/x is
strictly logarithmically completely monotonic on (0,∞).
2004 Elsevier Inc. All rights reserved
Keywords :
gamma function , Logarithmically completely monotonic function , Psi function
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications