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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Further approximations for elliptic integrals


Author: Yudell L. Luke
Journal: Math. Comp. 24 (1970), 191-198
MSC: Primary 65.25
MathSciNet review: 0258243
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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 $ \phi$ planes.


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DOI: https://doi.org/10.1090/S0025-5718-1970-0258243-5
Keywords: Elliptic integrals, approximations by rational functions
Article copyright: © Copyright 1970 American Mathematical Society