Example: Elliptic Integral Function
Calculating the Derivatives of Elliptic Integral Functions
• The complete elliptic integral of the first kind:
• Second derivative of the complete elliptic integral of the first kind:
• First derivative by m of the incomplete elliptic integral of the first kind:
• First derivative by z of the incomplete elliptic integral of the first kind:
• Second derivative by m of the incomplete elliptic integral of the first kind:
• First derivatives by m and z of the incomplete elliptic integral of the second kind:
• First derivatives by m, n and z of the incomplete elliptic integral of the third kind:
Numerically Evaluating Elliptical integral functions
• Use the assume keyword.
You can also set the functions arguments.
Calculate the limit of ellipticF when m approaches 0:
• Use the float keyword.
• ellipticK has a singularity point at m=1. For m>1, results will be complex:
• Calculate the ellipticK of a vector.
