# @stdlib/math-base-special-beta

0.3.0 • Public • Published

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# beta

The beta function, also called the Euler integral, is defined as

-->

The beta function is related to the Gamma function via the following equation

## Installation

`npm install @stdlib/math-base-special-beta`

## Usage

`var beta = require( '@stdlib/math-base-special-beta' );`

#### beta( x, y )

Evaluates the beta function.

```var val = beta( 0.0, 0.5 );
// returns Infinity

val = beta( 1.0, 1.0 );
// returns 1.0

val = beta( -1.0, 2.0 );
// returns NaN

val = beta( 5.0, 0.2 );
// returns ~3.382

val = beta( 4.0, 1.0 );
// returns 0.25```

## Examples

```var beta = require( '@stdlib/math-base-special-beta' );
var x;
var y;

for ( x = 0; x < 10; x++ ) {
for ( y = 10; y > 0; y-- ) {
console.log( 'x: %d, \t y: %d, \t f(x,y): %d', x, y, beta( x, y ) );
}
}```

## C APIs

### Usage

`#include "stdlib/math/base/special/beta.h"`

#### stdlib_base_beta( a, b )

Evaluates the beta function.

```double out = stdlib_base_beta( 1.0, 1,0 );
// returns 1.0

out = stdlib_base_beta( 5.0, 0.2);
// returns ~3.382```

The function accepts the following arguments:

• a: `[in] double` input value.
• b: `[in] double` input value.
`double stdlib_base_beta ( const double a, const double b );`

### Examples

```#include "stdlib/math/base/special/beta.h"
#include <stdio.h>

int main( void ) {
const double x[] = { 1.0, 3.0, 5.0, 8.0, 10.0 };
const double y[] = { 2.0, 4.0, 7.0, 9.0, 10.0 };

double out;
int i;
int j;
for ( i = 0; i < 5; i++ ) {
for ( j = 0; j < 5; j++ ){
out = stdlib_base_beta( x[ i ], y[ j ] );
printf ( "x: %lf, y: %lf, out: %lf\n", x[ i ], y[ j ], out );
}
}
}```

## Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

## Package Sidebar

### Install

`npm i @stdlib/math-base-special-beta`

### Repository

github.com/stdlib-js/math-base-special-beta

stdlib.io

66,843

### Version

0.3.0

Apache-2.0 AND BSL-1.0

71.7 kB

19