Open Access

Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions

Journal of Inequalities and Applications20062006:48727

DOI: 10.1155/JIA/2006/48727

Received: 29 June 2005

Accepted: 3 July 2005

Published: 13 April 2006


We denote by and the gamma and the incomplete gamma functions, respectively. In this paper we prove some monotonicity results for the gamma function and extend, to , a lower bound established by Elbert and Laforgia (2000) for the function , with , only for .


Authors’ Affiliations

Department of Mathematics, Roma Tre University


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© A. Laforgia and P. Natalini. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.