Compute the ratio of two gamma functions.
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> Compute the ratio of two [gamma][@stdlib/math/base/special/gamma] functions.
``bash`
npm install @stdlib/math-base-special-gamma-delta-ratio
`javascript`
var gammaDeltaRatio = require( '@stdlib/math-base-special-gamma-delta-ratio' );
#### gammaDeltaRatio( z, delta )
Computes the ratio of two [gamma functions][@stdlib/math/base/special/gamma]. Specifically, the function evaluates Γ( z ) / Γ( z + delta ).
`javascript
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
`
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var gammaDeltaRatio = require( '@stdlib/math-base-special-gamma-delta-ratio' );
var opts = {
'dtype': 'float64'
};
var z = uniform( 100, 0.0, 10.0, opts );
var delta = uniform( 100, 0.0, 10.0, opts );
logEachMap( 'gamma( %0.4f ) / gamma( %0.4f + %0.4f ) = %0.4f', z, z, delta, gammaDeltaRatio );
`
*
`c`
#include "stdlib/math/base/special/gamma_delta_ratio.h"
#### stdlib_base_gamma_delta_ratio( z, delta )
Computes the ratio of two [gamma functions][@stdlib/math/base/special/gamma]. Specifically, the function evaluates Γ( z ) / Γ( z + delta ).
`c
double out = stdlib_base_gamma_delta_ratio( 2.0, 3.0 );
// returns ~0.042
out = stdlib_base_gamma_delta_ratio( 4.0, 0.5 );
// returns ~0.516
`
The function accepts the following arguments:
- z: [in] double first gamma parameter.[in] double
- delta: difference.
`c`
double stdlib_base_gamma_delta_ratio( const double z, const double delta );
`c
#include "stdlib/math/base/special/gamma_delta_ratio.h"
#include
#include
int main( void ) {
double delta;
double out;
double z;
int i;
for ( i = 0; i < 100; i++ ) {
z = (double)rand() * 10.0;
delta = (double)rand() * 10.0;
out = stdlib_base_gamma_delta_ratio( z, delta );
printf( "gamma_delta_ratio(%lf, %lf) = %lf\n", z, delta, out );
}
}
`
*
- [@stdlib/math-base/special/gamma][@stdlib/math/base/special/gamma]: gamma function.
*
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
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---
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