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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Calculation of elliptic integrals of the third kind by means of Gauss’ transformation
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by Henry E. Fettis PDF
Math. Comp. 19 (1965), 97-104 Request permission
References
  • Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and physicists, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. Band LXVII, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954. MR 0060642, DOI 10.1007/978-3-642-52803-3
  • R. G. Selfridge and J. E. Maxfield, A table of the incomplete elliptic integral of the third kind, Dover Publications, Inc., New York, 1958. MR 0105827
  • L. V. King, On the Direct Calculation of Elliptic Functions and Integrals, Cambridge Univ. Press, New York, 1924. H. E. Salzer, "Quick calculation of the Jacobian elliptic functions," Comm. ACM, v. 5, 1962, no. 7.
  • A. R. DiDonato and A. V. Hershey, New formulas for computing incomplete elliptic integrals of the first and second kind, J. Assoc. Comput. Mach. 6 (1959), 515–526. MR 107353, DOI 10.1145/320998.321005
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Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Math. Comp. 19 (1965), 97-104
  • MSC: Primary 65.25
  • DOI: https://doi.org/10.1090/S0025-5718-1965-0175286-9
  • MathSciNet review: 0175286