Monotonicity properties of functions related to the psi function

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摘要

In this paper, the monotonicity properties of functions related to the psi function are obtained, a double inequality for the Euler–Mascheroni constant is established. Relevant connections of the results presented here with those derived in earlier works are also pointed out.

论文关键词：Psi function,Euler’s constant,Harmonic numbers,Inequality,Asymptotic expansion

论文评审过程：Available online 19 September 2010.

论文官网地址：https://doi.org/10.1016/j.amc.2010.09.013