# beta¶

## Purpose¶

Computes the standard Beta function, also called the Euler integral. The beta function is defined as:

$B(x, y) = \int_{0}^{1} t^{x−1}(1−t)^{y−1}dt$

## Format¶

f = beta(x, y)
Parameters: x (scalar or NxK matrix) – may be real or complex y (LxM matrix) – ExE conformable with x. f (NxK matrix) –

## Examples¶

// Set x
x = 9;

// Set y
y = 3;

// Call beta function
f = beta(x, y);

After the code above:

f = 0.0020202020


## Remarks¶

The Beta function’s relationship with the Gamma function is:

$B(x,y) = \frac{\Gamma(x)×\Gamma(y)}{\Gamma(x+y)}$