FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION

- Journal title : Journal of the Korean Mathematical Society
- Volume 45, Issue 2, 2008, pp.559-573
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2008.45.2.559

Title & Authors

FOUR LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS INVOLVING GAMMA FUNCTION

Qi, Feng; Niu, Da-Wei; Cao, Jian; Chen, Shou-Xin;

Qi, Feng; Niu, Da-Wei; Cao, Jian; Chen, Shou-Xin;

Abstract

In this paper, two classes of functions, involving a parameter and the classical Euler gamma function, and two functions, involving the classical Euler gamma function, are verified to be logarithmically completely monotonic in or ; some inequalities involving the classical Euler gamma function are deduced and compared with those originating from certain problems of traffic flow, due to J. Wendel and A. Laforgia, and relating to the well known Stirling's formula.

Keywords

logarithmically completely montonic function;completely monotonic function;ratio of the gamma functions;Kershaw's inequality;Laforgia's inequality;Stirling's formula;Wendel's inequality;

Language

English

Cited by

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