IJPAM: Volume 43, No. 1 (2008)

A LOGARITHMICALLY COMPLETE MONOTONICITY
PROPERTY OF THE GAMMA FUNCTION

Senlin Guo$^1$, Feng Qi$^{2}$
$^1$Department of Mathematics
University of Manitoba
101-34 Southpark Drive, Winnipeg, MB, R3T 2M1, CANADA
e-mail: sguo@hotmail.com
$^{2}$Research Institute of Mathematical Inequality Theory
Henan Polytechnic University
Jiaozuo, Henan, 454010, P.R. CHINA
e-mail: qifeng618@gmail.com


Abstract.In this article, we give a logarithmically complete monotonicity property and a supper-additive property of the gamma function.

Received: November 15, 2007

AMS Subject Classification: 26A51, 33B15

Key Words and Phrases: logarithmically completely monotonic function, completely monotonic function, supper-additive property, gamma function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 1