Accuracy of Euler’s gamma  expansion without logarithm

Juozas Juvencijus Mačys; Rimas Banys

doi:10.15388/LMR.A.2014.03

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Juozas Juvencijus Mačys

Vilnius University

Rimas Banys

Vilnius Gediminas Technical University

Published 2014-12-15

https://doi.org/10.15388/LMR.A.2014.03

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Keywords

Euler–Mascheroni constant
asymptotic expansion
rational approximations

How to Cite

Mačys J. J. and Banys R. (2014) “Accuracy of Euler’s gamma expansion without logarithm”, Lietuvos matematikos rinkinys, 55(A), pp. 13–16. doi: 10.15388/LMR.A.2014.03.

Abstract

The rational approximations for the Euler–Mascheroni constant using the Euler asymptotic expansion are obtained. The errors of approximations are evaluated. The numerical computations reflect the accuracy of the approximations.

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Accuracy of Euler’s gamma expansion without logarithm

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