Ramanujan's Inverse Elliptic Arc Approximation

Details Ramanujan's Inverse Elliptic Arc Approximation Ramanujan's Inverse Elliptic Arc Approximation

2005-06-20

arxiv.org/abs/math/0506385v1

Mathematics

Classical Analysis and ODEs

Four pages

Scientific paper

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.

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