Inequalities and monotonicity for the ratio of gamma functions.
type: Item
instance of: scholarly article
title: Inequalities and monotonicity for the ratio of gamma functions.
zbMATH Open document ID: 1050.26012
author: Bai-Ni Guo
author: Feng Qi
published in: Taiwanese Journal of Mathematics
publication date: 2004-06-22T00:00:00Z
review text: Let \(\Gamma\) be the Euler gamma function. The authors prove that \[ f_y(x)= [\Gamma(x+ y+ 1)/\Gamma(y+ 1)]^{1/x}/(x+ y+ 1) \] is a decreasing function of \(x\geq 1\), for any fixed \(y\geq 0\).
reviewed by: József Sándor
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 2076838
zbMATH Keywords: Euler's gamma function
zbMATH Keywords: Stirling's formula
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500575061
OpenAlex ID: W1555719611
DOI: 10.11650/TWJM/1500575061
description: scientific article; zbMATH DE number 2076838