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Scilab Help >> Special Functions > delip

# 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: 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

```delip([1,2], 0.5)
deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
intg(0, 1, f)    // OK since real solution!```

• amell — Jacobi's am function
• ellipj — Jacobi elliptic functions
• %k — Jacobi's complete elliptic integral of the first kind (vectorized)