Title of article :
Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Eulerʹs gamma function
Author/Authors :
Stamatis Koumandos، نويسنده , , Stamatis and Pedersen، نويسنده , , Henrik L.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2009
Abstract :
We introduce completely monotonic functions of order r > 0 and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Eulerʹs gamma function give rise to completely monotonic functions of any positive integer order.
Keywords :
gamma function , double gamma function , Barnes G-function , Completely monotonic function of positive order , asymptotic expansion , Strong complete monotonicity
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
