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On some properties of the Gamma function |
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| Authors: | Á rpá d Elbert Andrea Laforgia |
| Institution: | Mathematical Institute of the Hungarian Academy of Sciences, P.O. Box 127, Budapest H-1364, Hungary Andrea Laforgia ; Department of Mathematics, Largo S. Leonardo Murialdo, 1 00146 Roma, Italy |
| Abstract: | Anderson and Qiu (1997) conjectured that the function  is concave for  . In this paper we prove this conjecture. We also study the monotonicity of some functions connected with the psi-function  and derive inequalities for  and  . |
| Keywords: | Gamma function psi function monotonicity inequalities |
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