Determines the Legendre Elliptic Integral of the 1st kind for the real numbers phi and k (0 is less than or equal to k, which is less than or equal to 1). Details
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phi is any real number. |
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k is a real number with 0 is less than or equal to k, which is less than or equal to 1. |
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F(phi,k) is the result of the calculation of the Legendre Elliptic integral of the first kind for the given values of phi and k. |
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error returns any error or warning condition from the VI. |
The Legendre Elliptic Integral 1st kind is defined by F(phi,k) = integral of 1/sqrt(1 - k^2*sin(psi)^2) between 0 and phi (psi runs from 0 to phi).
The calculation uses the relation
where is the elliptic integral in the Carlson form