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


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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.