Elliptic integralIn integral calculus, an elliptic integral is any function f which can be expressed in the form
where R is a rational function of its two arguments, P is the square root of a polynomial of degree 3 or 4 with no repeated roots, and c is a constant.
Particular examples include:
- The complete elliptic integral of the first kind K is defined as
- The complete elliptic integral of the second kind E is defined as