delip
complete and incomplete elliptic integral of first kind
Syntax
r = delip(x, ck)
Arguments
- 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
Description
The elliptic integral of the first kind with parameter
ck
is defined as follow:
![integral_0^x dt / sqrt((1 - t^2)(1 - c_k^2 t^2))](/docs/2023.0.0/en_US/_LaTeX_delip.xml_1.png)
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
.
Examples
See also
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