Ramanujan's Inverse Elliptic Arc Approximation
Classical Analysis and ODEs
2007-05-23 v1
Abstract
We suggest a continued fraction origin to Ramanujan's approximation to {(a-b)/(a+b)}^2 in terms of the arc length of an ellipse with semiaxes a and b. Moreover, we discuss the asymptotic accuracy of the approximation.
Keywords
Cite
@article{arxiv.math/0506385,
title = {Ramanujan's Inverse Elliptic Arc Approximation},
author = {Mark B. Villarino},
journal= {arXiv preprint arXiv:math/0506385},
year = {2007}
}
Comments
Four pages