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 
