Incomplete Elliptic Integral F VI

Computes the Legendre elliptic integral of the first kind. You must manually select the polymorphic instance you want to use.


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Inputs/Outputs

  • cdbl.png k —

    k is the square of the elliptic modulus. k is a real number between 0 and 1.

  • cdbl.png a —

    a is the amplitude of the function, which is the upper limit of the integral. The default value is Pi/2.

  • idbl.png F(k, a) —

    F(k, a) is the value of the incomplete elliptic integral of the first kind.

    • Complete Elliptic Integral K

    The following equation defines the complete elliptic integral of the first kind.

    where k is the square of the elliptic modulus.

    Incomplete Elliptic Integral F

    The following equation defines the incomplete elliptic integral of the first kind.

    where k is the square of the elliptic modulus and a is the upper limit, or amplitude, of the integral.

    The following intervals for the input values define the function.

    LabVIEW supports the entire domain of this function that produces real-valued results. For a real value of upper limit a, the function is defined for all real values of k in the unit interval.