Modified convergences to the Euler-Mascheroni constant

Cristinel Mortici

doi:10.56754/0719-0646.2801.043

DOI:

https://doi.org/10.56754/0719-0646.2801.043

Abstract

We introduce in this paper some new sequences that converge to the Euler-Mascheroni constant. These sequences have a higher convergence rate than the classical one. Further properties are given.

Keywords

Euler-Mascheroni constant , Euler’s gamma function , digamma function , approximations , speed of convergence

Mathematics Subject Classification:

41A21 , 26D05 , 26D15 , 33B10

Cristinel Mortici Academy of Romanian Scientists, Strada IIfov nr. 3, 050044 Bucureşti, Romania – Department of Science and Advanced Technologies, Faculty of Sciences and Arts, Valahia University of Târgovişte, Aleea Sinaia 13, 130004 Târgovişte, Romania – National University of Science and Technology Politehnica Bucureşti, Splaiul Independenţei 313, 060042 Bucureşti, Romania. https://orcid.org/0000-0001-5576-1921

Pages: 43–51
Date Published: 2026-01-21
Vol. 28 No. 1 (2026)

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