An integral linked to arithmetic-geometric mean

Authors

  • Ernest Scheiber Transilvania University of Brasov, Romania

Keywords:

arithmetic-geometric mean, elliptic integrals

Abstract

An integral involving hyperbolic functions is linked to the arithmetic-geometric mean in the same way as in the Gauss formula and a numerical method to compute the real elliptic integral of the first kind is presented.

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Published

2018-07-10

Issue

Vol. 11(60) No. 1 (2018)

Section

MATHEMATICS