Rational Landen transformations on the real line

Details Rational Landen transformations on the real line Rational Landen transformations on the real line

2007-07-26

arxiv.org/abs/0707.3862v1

Mathematics

Classical Analysis and ODEs

22 pages

Scientific paper

10.1090/S0025-5718-07-01954-0

The rational Landen transformation is a map on the space of coefficients of a
rational integrand that preserves the value of the integral. We provide a
family of these transformations that apply to rational integrands on the whole
line. Given an integer m, these transformations produce a numerical scheme to
evaluate the integral that is of order m.

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