Gamma Delta Ratio

Compute the ratio of two gamma functions.

Installation

npm install @stdlib/math-base-special-gamma-delta-ratio

Usage

var gammaDeltaRatio = require( '@stdlib/math-base-special-gamma-delta-ratio' );

gammaDeltaRatio( z, delta )

Computes the ratio of two gamma functions. Specifically, the function evaluates Γ( z ) / Γ( z + delta ).

var y = gammaDeltaRatio( 2.0, 3.0 );
// returns ~0.042

y = gammaDeltaRatio( 4.0, 0.5 );
// returns ~0.516

y = gammaDeltaRatio( 100.0, 0.0 );
// returns 1.0

Examples

var randu = require( '@stdlib/random-base-randu' );
var gammaDeltaRatio = require( '@stdlib/math-base-special-gamma-delta-ratio' );

var delta;
var z;
var i;

for ( i = 0; i < 100; i++ ) {
    z = randu()*10.0;
    delta = randu()*10.0;
    console.log( 'gamma( %d ) / gamma( %d + %d ) = %d', z, z, delta, gammaDeltaRatio( z, delta ) );
}

See Also

• @stdlib/math-base/special/gamma: gamma 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.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.