Elliptic integrals-->complex arguments-->migraine

Discussion in 'Numerical Analysis' started by Gerald I. evenden, Oct 19, 2003.

  1. I am way over my head in the area but the basic problem
    is how to compute a Elliptic integral of the second
    kind with a complex argument?

    E(w|m) = ?

    where w = u + iv.

    Ab.&Stegun mentions the case for E(phi+i chi\ alpha) but
    this notation game with the ellipticals is giving me a
    severe migraine.

    17.4.12, p. 593.

    Many thanks.
     
    Gerald I. evenden, Oct 19, 2003
    #1
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  2. Gerald I. evenden

    John Ashby Guest

    looking at 17.2.1, m = sin^2\alpha, w=\phi + i \chi.

    Hope this helps,

    john
     
    John Ashby, Oct 20, 2003
    #2
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  3. Gerald I. evenden

    Paul Abbott Guest

    This functionality is built-in Mathematica -- and to arbitrary
    precision, if required.

    Cheers,
    Paul

    --
    Paul Abbott Phone: +61 8 9380 2734
    School of Physics, M013 Fax: +61 8 9380 1014
    The University of Western Australia (CRICOS Provider No 00126G)
    35 Stirling Highway
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    AUSTRALIA http://physics.uwa.edu.au/~paul
     
    Paul Abbott, Oct 29, 2003
    #3
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