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2010 A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION
Feng Qi, Bai-Ni Guo
Taiwanese J. Math. 14(4): 1623-1628 (2010). DOI: 10.11650/twjm/1500405972

Abstract

In this paper, sufficient conditions are found for a function involving the gamma function and its reciprocal to be logarithmically completely monotonic. Consequently, a decreasing monotonicity of the function is generalized and a known inequality is extended.

Citation

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Feng Qi. Bai-Ni Guo. "A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE GAMMA FUNCTION." Taiwanese J. Math. 14 (4) 1623 - 1628, 2010. https://doi.org/10.11650/twjm/1500405972

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1216.26006
MathSciNet: MR2663936
Digital Object Identifier: 10.11650/twjm/1500405972

Subjects:
Primary: 26A48 , 33B15
Secondary: 26A51‎ , 26D07

Keywords: Gamma function , inequality , logarithmically completely monotonic function

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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