Further approximations for elliptic integrals
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- by Yudell L. Luke PDF
- Math. Comp. 24 (1970), 191-198 Request permission
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.References
- Yudell L. Luke, Approximations for elliptic integrals, Math. Comp. 22 (1968), 627–634. MR 226825, DOI 10.1090/S0025-5718-1968-0226825-3 Yudell L. Luke, The Special Functions and Their Approximations, Vol. 2, Academic Press, New York, 1969, pp. 269–273.
- H. Van de Vel, On the series expansion method for computing incomplete elliptic integrals of the first and second kinds, Math. Comp. 23 (1969), 61–69. MR 239732, DOI 10.1090/S0025-5718-1969-0239732-8
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Math. Comp. 24 (1970), 191-198
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1970-0258243-5
- MathSciNet review: 0258243