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Reduction of Algebraic Integrands to Jacobian Elliptic Functions

  • Paul F. Byrd
  • Morris D. Friedman
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GL, volume 67)

Abstract

The most general elliptic integral encountered in practice may appear in the form 200.00
(200.00)
where R1, R2, R3 and R4 are rational integral functions of t, and where P is a polynomial of the third or fourth degree with real coefficients and no repeated factors.

Keywords

Rational Function Elliptic Function Elliptic Integral Jacobian Elliptic Function Conjugate Complex Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1954

Authors and Affiliations

  • Paul F. Byrd
    • 1
  • Morris D. Friedman
    • 2
  1. 1.National Advisory Committee For Aeronautics (U.S.A.)Fisk UniversityPalo AltoUSA
  2. 2.National Advisory Committee For Aeronautics (U.S.A.)USA

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