Open Access
2003 INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS
Bai-Ni Guo, Feng Qi
Taiwanese J. Math. 7(2): 239-247 (2003). DOI: 10.11650/twjm/1500575061

Abstract

In this article, using Stirling’s formula, the series-expansion of digamma functions and other techniques, some inequalities and monotonicity concerning the ratio of gamma functions are obtained, several inequalities involving the geometric mean of natural numbers are deduced.

Citation

Download Citation

Bai-Ni Guo. Feng Qi. "INEQUALITIES AND MONOTONICITY FOR THE RATIO OF GAMMA FUNCTIONS." Taiwanese J. Math. 7 (2) 239 - 247, 2003. https://doi.org/10.11650/twjm/1500575061

Information

Published: 2003
First available in Project Euclid: 20 July 2017

zbMATH: 1050.26012
MathSciNet: MR1978013
Digital Object Identifier: 10.11650/twjm/1500575061

Subjects:
Primary: 26D15 , 33B15
Secondary: 26D07

Keywords: digamma function , Gamma function , geometric means , inequality , Monotonicity , natural number , ratio , Stirling's formula

Rights: Copyright © 2003 The Mathematical Society of the Republic of China

Vol.7 • No. 2 • 2003
Back to Top