time-to-botec/js/node_modules/@stdlib/math/base/special/gamma
NunoSempere b6addc7f05 feat: add the node modules
Necessary in order to clearly see the squiggle hotwiring.
2022-12-03 12:44:49 +00:00
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Gamma Function

Gamma function.

The gamma function extends the factorial function to real and complex numbers. If n is a positive integer,

Gamma function for positive integers.

Generalized to all complex numbers z, except for nonpositive integers, the gamma function can be expressed as an infinite product

Gamma function for all complex numbers.

where γ ≈ 0.577216 is the EulerMascheroni constant.

Usage

var gamma = require( '@stdlib/math/base/special/gamma' );

gamma( x )

Evaluates the gamma function.

var v = gamma( 4.0 );
// returns 6.0

v = gamma( -1.5 );
// returns ~2.363

v = gamma( -0.5 );
// returns ~-3.545

v = gamma( 0.5 );
// returns ~1.772

v = gamma( 0.0 );
// returns Infinity

v = gamma( -0.0 );
// returns -Infinity

v = gamma( NaN );
// returns NaN

Examples

var linspace = require( '@stdlib/array/linspace' );
var gamma = require( '@stdlib/math/base/special/gamma' );

var x = linspace( -10.0, 10.0, 100 );
var v;
var i;

for ( i = 0; i < x.length; i++ ) {
    v = gamma( x[ i ] );
    console.log( 'x: %d, f(x): %d', x[ i ], v );
}