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Published May 27, 2015 | Submitted
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A Computer Method for Calculation of the Complete and Incomplete Elliptic Integrals of the Third Kind

Abstract

Numerical approximations and a Fortran IV program are given for the calculation by an IBM 7090 computer of the complete and incomplete elliptic integrals of the third kind. In its present form results are limited to six decimal places, but the method is valid for all values of amplitude φ, modulus k and real values of the parameter a^2. For the purpose of completeness, adaptations of other programs for complete and incomplete elliptic integrals of the first and second kind are also presented.

Additional Information

Office of Naval Research Department of the Navy Contract Nonr 220(43). Report No. E-110.3.

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Submitted - E-110.3.pdf

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Created:
August 19, 2023
Modified:
October 23, 2023