Logarithmic convexity and inequalities for the gamma function
type: Item
instance of: scholarly article
title: Logarithmic convexity and inequalities for the gamma function
zbMATH Open document ID: 0860.33001
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-12-09T00:00:00Z
review text: We propose a method, based on logarithmic convexity, for producing sharp bounds for the ratio \(\Gamma(x+ \beta)/\Gamma(x)\). As an application, we present an inequality that sharpens and generalizes some previously known ones, in particular the well known one due to \textit{W. Gautschi} [J. Math. Phys. 38, 77-81 (1959; Zbl 0094.04104)].
reviewed by: D. Kershaw
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 944359
zbMATH Keywords: gamma function
zbMATH Keywords: logarithmic convexity
zbMATH Keywords: inequality
author: Milan Merkle
MaRDI profile type: Publication
OpenAlex ID: W1977750622
DOI: 10.1006/JMAA.1996.0385
description: scientific article; zbMATH DE number 944359