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
Pages
8
From page
33
To page
40
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
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560181
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