Numerical computation of real or complex elliptic integrals

Details Numerical computation of real or complex elliptic integrals Numerical computation of real or complex elliptic integrals

1994-09-06

arxiv.org/abs/math/9409227v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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.

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