84 lines
1.8 KiB
Markdown
84 lines
1.8 KiB
Markdown
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Gamma Delta Ratio
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> Compute the ratio of two [gamma][@stdlib/math/base/special/gamma] functions.
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<section class="usage">
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## Usage
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```javascript
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var gammaDeltaRatio = require( '@stdlib/math/base/special/gamma-delta-ratio' );
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```
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#### gammaDeltaRatio( z, delta )
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Computes the ratio of two [gamma functions][@stdlib/math/base/special/gamma]. Specifically, the function evaluates `Γ( z ) / Γ( z + delta )`.
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```javascript
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var y = gammaDeltaRatio( 2.0, 3.0 );
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// returns ~0.042
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y = gammaDeltaRatio( 4.0, 0.5 );
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// returns ~0.516
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y = gammaDeltaRatio( 100.0, 0.0 );
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// returns 1.0
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var randu = require( '@stdlib/random/base/randu' );
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var gammaDeltaRatio = require( '@stdlib/math/base/special/gamma-delta-ratio' );
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var delta;
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var z;
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var i;
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for ( i = 0; i < 100; i++ ) {
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z = randu()*10.0;
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delta = randu()*10.0;
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console.log( 'gamma( %d ) / gamma( %d + %d ) = %d', z, z, delta, gammaDeltaRatio( z, delta ) );
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}
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[@stdlib/math/base/special/gamma]: https://www.npmjs.com/package/@stdlib/math/tree/main/base/special/gamma
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</section>
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<!-- /.links -->
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