IJPAM: Volume 30, No. 4 (2006)
SOME CLASSES OF COMPLETELY MONOTONIC
FUNCTIONS INVOLVING THE GAMMA FUNCTION
FUNCTIONS INVOLVING THE GAMMA FUNCTION
Senlin Guo
Department of Mathematics
University of Manitoba
Winnipeg, MB, R3T 2N2, CANADA
e-mail: umguos@cc.umanitoba.ca
Department of Mathematics
University of Manitoba
Winnipeg, MB, R3T 2N2, CANADA
e-mail: umguos@cc.umanitoba.ca
Abstract.In this article, a necessary-sufficient condition is given for a class of functions involving the gamma function to be completely monotonic. A sufficient condition is provided for a class of functions to be logarithmically completely monotonic.
Received: July 10, 2006
AMS Subject Classification: 26A51
Key Words and Phrases: logarithmically completely monotonic function, completely monotonic function, gamma function
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 4
