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AN INTEGRABLE DEFORMATION OF AN ELLIPSE OF SMALL ECCENTRICITY IS AN ELLIPSE
INTEGRABLE DEFORMATION ELLIPSE OF SMALL ECCENTRICITY ELLIPSE
2015/9/25
The classical Birkhoff conjecture says that the only integrable convexdomains are circles and ellipses. In the paper we show that a version of this conjecture is true for small perturbations of ellips...
A Note On the Accuracy of Ramanujan's Approximative Formula for the Perimeter of an Ellipse
Ramanujan's approximative formula Best constants Elliptic functions and integrals
2008/7/3
We present a detailed error analysis, with best possible constants, of Ramanujan's most accurate approximation to the perimeter of an ellipse.