Gamma function.
The gamma function extends the factorial function to real and complex numbers. If n is a positive integer,
Generalized to all complex numbers z, except for nonpositive integers, the gamma function can be expressed as an infinite product
where γ ≈ 0.577216 is the Euler–Mascheroni constant.
npm install @stdlib/math-base-special-gammaAlternatively,
- To load the package in a website via a
scripttag without installation and bundlers, use the ES Module available on theesmbranch. - If you are using Deno, visit the
denobranch. - For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the
umdbranch.
The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.
var gamma = require( '@stdlib/math-base-special-gamma' );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 NaNvar linspace = require( '@stdlib/array-base-linspace' );
var gamma = require( '@stdlib/math-base-special-gamma' );
var x = linspace( -10.0, 10.0, 100 );
var i;
for ( i = 0; i < x.length; i ) {
console.log( 'x: %d, f(x): %d', x[ i ], gamma( x[ i ] ) );
}@stdlib/math/base/special/gamma1pm1: compute gamma(x 1) - 1.@stdlib/math/base/special/gammainc: incomplete gamma function.@stdlib/math/base/special/gammaincinv: inverse incomplete gamma function.@stdlib/math/base/special/gammaln: natural logarithm of the gamma function.
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.
Copyright © 2016-2022. The Stdlib Authors.
