complete and incomplete elliptic integral of first kind
[r]=delip(x,ck)
:x real vector/matrix with nonnegative elements : :ck real number between -1 and 1 : :r real or complex number (or vector/matrix) with the same size as
x
:
The elliptic integral of the first kind with parameter ck is defined as follow:
Where x is real and positive, ck is in [-1 1].
If x is less than 1 the result is real.
When called with x a vector/matrix r is evaluated for each entry of x.
ck=0.5;
delip([1,2],ck)
`deff`_('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
`intg`_(0,1,f) //OK since real solution!