Chen, Chaoping; Qi, Feng Monotonicity results for the Gamma function. (English) Zbl 1059.33004 JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 44, 6 p. (2003). After exhaustive background description, the authors offer the following results. The fuctions \(x\mapsto \Gamma(x+1)^{1/x}(x+1)^{-1/2}\) and \(x\mapsto \Gamma(x+1)^{1/x}x^{-1/2}\) are strictly increasing on \([1,\infty[\) or \([2,\infty[,\) respectively, while \(x\mapsto \Gamma(x+1)^{1/x}(x+1)^{-1}\) is strictly decreasing on \([1,\infty[.\) The paper closes with 29 references. Reviewer: János Aczél (Waterloo/Ontario) Cited in 3 Documents MSC: 33B15 Gamma, beta and polygamma functions 26A48 Monotonic functions, generalizations 26D07 Inequalities involving other types of functions Keywords:gamma function; monotonicity; inequalities PDFBibTeX XMLCite \textit{C. Chen} and \textit{F. Qi}, JIPAM, J. Inequal. Pure Appl. Math. 4, No. 2, Paper No. 44, 6 p. (2003; Zbl 1059.33004) Full Text: EuDML