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Reduction of Trigonometric Integrands to Jacobian Elliptic Functions

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Handbook of Elliptic Integrals for Engineers and Physicists

Part of the book series: Die Grundlehren der Mathematischen Wissenschaften ((GL,volume 67))

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Abstract

Various elliptic integrals involving trigonometric integrands occur in many geometrical and physical problems. In order to evaluate a variety of these we again find it convenient to express them in terms of integrals involving Jacobian elliptic functions.

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Authors and Affiliations

  1. National Advisory Committee For Aeronautics (U.S.A.), Fisk University, Palo Alto, USA

    Paul F. Byrd (Aeronautical Research Scientist, Formerly Assistant Professor of Mathematics)

  2. National Advisory Committee For Aeronautics (U.S.A.), USA

    Morris D. Friedman (Aeronautical Research Scientist)

Authors
  1. Paul F. Byrd
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  2. Morris D. Friedman
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© 1954 Springer-Verlag Berlin Heidelberg

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Byrd, P.F., Friedman, M.D. (1954). Reduction of Trigonometric Integrands to Jacobian Elliptic Functions. In: Handbook of Elliptic Integrals for Engineers and Physicists. Die Grundlehren der Mathematischen Wissenschaften, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52803-3_4

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  • DOI: https://doi.org/10.1007/978-3-642-52803-3_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-52805-7

  • Online ISBN: 978-3-642-52803-3

  • eBook Packages: Springer Book Archive

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