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Elliptic Integrals Resulting from Laplace Transformations

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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

Finding the Laplace transform1 of products of Bessel functions2 often leads to the evaluation of elliptic integrals. We shall give here, however, only a short table of such integrals.

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Reference

  1. A function f (p) is called the Laplace Transform of g (t) if

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  2. For the definition of Bessel functions, see, for example, N. W. Mclachlan’s Bessel Functions for Engineers, Oxford University Press, 1946.

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  3. See A Course of Modern Analysis by E. T. Whittaker and G. N. Watson, Macmillan, New York, 1943.

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Author information

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). Elliptic Integrals Resulting from Laplace Transformations. 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_9

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  • DOI: https://doi.org/10.1007/978-3-642-52803-3_9

  • 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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