Numerical computation of real or complex elliptic integrals
Classical Analysis and ODEs
2015-06-26 v1
Abstract
Algorithms for numerical computation of symmetric elliptic integrals of all three kinds are improved in several ways and extended to complex values of the variables (with some restrictions in the case of the integral of the third kind). Numerical check values, consistency checks, and relations to Legendre's integrals and Bulirsch's integrals are included.
Cite
@article{arxiv.math/9409227,
title = {Numerical computation of real or complex elliptic integrals},
author = {Bille C. Carlson},
journal= {arXiv preprint arXiv:math/9409227},
year = {2015}
}