Reduction of Trigonometric Integrands to Jacobian Elliptic Functions

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Handbook of Elliptic Integrals for Engineers and Scientists

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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© 1971 Springer-Verlag Berlin · Heidelberg

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Byrd, P.F., Friedman, M.D. (1971). Reduction of Trigonometric Integrands to Jacobian Elliptic Functions. In: Handbook of Elliptic Integrals for Engineers and Scientists. Die Grundlehren der mathematischen Wissenschaften, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65138-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-65138-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65140-3

  • Online ISBN: 978-3-642-65138-0

  • eBook Packages: Springer Book Archive

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