Skip to main content
SpringerLink
Log in

On the Euler-Mascheroni constant

  • Published:
Mathematical Notes Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E.W. Weisstein, Euler-Mascheroni Constant, in Math-World, A Wolfram Web Resource, 01.06.2010.

    Google Scholar 

  2. Euler-Mascheroni Constant, Wikipedia, 31.05.2010.

  3. G. M. Fikhtengol’ts, A Course of Differential and Integral Calculus (Fizmatlit, Moscow, 2001), Vol. 2 [in Russian].

    Google Scholar 

  4. J. J. Mačys, “On the Euler-Mascheroni constant,” Matematika ir matematinis modeliavimas 4, 1–6 (2008) [in Lithuanian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics and Informatics, Vilnius University, Vilnius, Lithuania

    J. J. Mačys

Authors
  1. J. J. Mačys
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to J. J. Mačys.

Additional information

Original Russian Text © J. J. Mačys, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 5, pp. 695–701.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mačys, J.J. On the Euler-Mascheroni constant. Math Notes 94, 647–652 (2013). https://doi.org/10.1134/S0001434613110060

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434613110060

Keywords

Search

Navigation