@stdlib/math-base-special-beta
v0.2.1
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Beta function.
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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 ) );
}
}
See Also
@stdlib/math-base/special/betainc
: incomplete beta function.@stdlib/math-base/special/betaincinv
: inverse incomplete beta function.@stdlib/math-base/special/betaln
: natural logarithm of the beta function.
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.
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Copyright
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