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    @stdlib/math-base-special-betaln
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    0.0.5 • Public • Published

    betaln

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    Natural logarithm of the beta function.

    The beta function, also called the Euler integral, is defined as

    Equation for the beta function.

    The beta function is related to the gamma function via the following equation

    Beta function expressed in terms of the Gamma function.

    Installation

    npm install @stdlib/math-base-special-betaln

    Usage

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

    betaln( x, y )

    Evaluates the the natural logarithm of the beta function.

    var val = betaln( 0.0, 0.0 );
    // returns Infinity
    
    val = betaln( 1.0, 1.0 );
    // returns 0.0
    
    val = betaln( -1.0, 2.0 );
    // returns NaN
    
    val = betaln( 5.0, 0.2 );
    // returns ~1.218
    
    val = betaln( 4.0, 1.0 );
    // returns ~-1.386

    Examples

    var betaln = require( '@stdlib/math-base-special-betaln' );
    var x;
    var y;
    
    for ( x = 0; x < 10; x++ ) {
        for ( y = 10; y > 0; y-- ) {
            console.log( 'x: %d, \t y: %d, \t f(x,y): %d', x, y, betaln( x, y ) );
        }
    }

    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.

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    License

    See LICENSE.

    Copyright

    Copyright © 2016-2021. The Stdlib Authors.

    Install

    npm i @stdlib/math-base-special-betaln

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    148

    Version

    0.0.5

    License

    Apache-2.0

    Unpacked Size

    60.9 kB

    Total Files

    13

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser