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Further Approximations for Elliptic Integrals

Yudell L. Luke
Mathematics of Computation
Vol. 24, No. 109 (Jan., 1970), pp. 191-198
DOI: 10.2307/2004889
Stable URL: http://www.jstor.org/stable/2004889
Page Count: 8
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Further Approximations for Elliptic Integrals
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Abstract

The present paper develops approximations for the three kinds of elliptic integrals based on the Padé approximations for the square root. The work includes and extends our previous work on the subject to provide efficient approximations over a larger part of the complex k and φ planes.

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