Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler-Mascheroni constant

Author: Chen Chao-Ping  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.22, Iss.9, 2011-09, pp. : 681-693

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Abstract

We present some properties associated with the monotonicity and the complete monotonicity of the psi (or digamma) function and establish the higher-order estimate for the familiar Euler-Mascheroni constant γ. Relevant connections of the results presented here with those derived in earlier works are also pointed out.