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

Abstract

In the foregoing sections, where elliptic integrals having diverse algebraic, trigonometric, and hyperbolic integrands were reduced to those involving elliptic functions, it is seen that certain standard integrals constantly recur. The following tables of integrals1 give explicit evaluation to those Jacobian normal forms, to which specific reference was made in each formula of Item Nos. 200299.

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© 1971 Springer-Verlag Berlin · Heidelberg

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Byrd, P.F., Friedman, M.D. (1971). Table of Integrals of 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-65138-0_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65140-3

  • Online ISBN: 978-3-642-65138-0

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