Ramanujan's Inverse Elliptic Arc Approximation

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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.
Four pages

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Classical Analysis and ODEs, 41A25, 41A60

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http://salesiana.dossiersoluciones.com/handle/123456789/75531

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506385
 http://arxiv.org/abs/math/0506385

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arXiv