This article is cited in 3 papers

On the Euler–Mascheroni Constant

J. J. Mačys

Institute of Mathematics and Informatics

Abstract: A formula for the classical Euler–Mascheroni constant not containing the logarithm is presented. The corresponding asymptotic expansion is proposed. New series rapidly converging to the constant are given.

Keywords: Euler–Mascheroni constant, asymptotic expansion for the Euler–Mascheroni constant, two-sided estimates for the Euler–Mascheroni constant.

UDC: 514

Received: 23.09.2010

DOI: 10.4213/mzm9386

 English version: Mathematical Notes, 2013, 94:5, 647–652

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