Elliptic Integrals Resulting from Laplace Transformations

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


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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  1. 1.
    A function f (p) is called the Laplace Transform of g (t) ifGoogle Scholar
  2. 2.
    For the definition of Bessel functions, see, for example, N. W. Mclachlan’s Bessel Functions for Engineers, Oxford University Press, 1946.Google Scholar
  3. 3.
    See A Course of Modern Analysis by E. T. Whittaker and G. N. Watson, Macmillan, New York, 1943.Google Scholar

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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