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

Journal of Inequalities and Applications20062006:48727

https://doi.org/10.1155/JIA/2006/48727

  • Received: 29 June 2005
  • Accepted: 3 July 2005
  • Published:

Abstract

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 .

Keywords

  • Gamma Function
  • Incomplete Gamma Function
  • Monotonicity Result

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Authors’ Affiliations

(1)
Department of Mathematics, Roma Tre University, Largo San Leonardo Murialdo 1, Rome, 00146, Italy

References

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Copyright

© 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.

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