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A Computer Method for Calculation of the Complete and Incomplete Elliptic Integrals of the Third Kind

Ai, D. K. and Harrison, Z. L. (1964) A Computer Method for Calculation of the Complete and Incomplete Elliptic Integrals of the Third Kind. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechAUTHORS:20150527-143141902

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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.


Item Type:Report or Paper (Technical Report)
Additional Information:Office of Naval Research Department of the Navy Contract Nonr 220(43). Report No. E-110.3.
Group:Hydrodynamics Laboratory
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)NOnr 220(43)
Record Number:CaltechAUTHORS:20150527-143141902
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20150527-143141902
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:57870
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:27 May 2015 21:37
Last Modified:27 May 2015 21:37

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