Elliptic integrals
Syntax: |
y = FINELLIC(x,p)
|
Elliptic integrals have the form
where is a rational
function of x and y, and
y2 is a cubic or quartic polynomial in x. Any elliptic integral can
be expressed in terms of the three canonical forms. The elliptic integrals are
said to be "complete" when the amplitude is
.
First kind
For and
For
Second kind
For and
For