@stdlib/math-base-tools-normhermitepoly
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    0.0.7 • Public • Published

    Normalized Hermite Polynomial

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    Evaluate a normalized Hermite polynomial.

    The normalized (aka "probabilist") Hermite polynomials are given by

    Equation for normalized Hermite polynomials.

    Installation

    npm install @stdlib/math-base-tools-normhermitepoly

    Usage

    var normhermitepoly = require( '@stdlib/math-base-tools-normhermitepoly' );

    normhermitepoly( n, x )

    Evaluates a normalized Hermite polynomial of degree n.

    var v = normhermitepoly( 1, 1.0 );
    // returns 1.0
    
    v = normhermitepoly( 1, 0.5 );
    // returns 0.5
    
    v = normhermitepoly( 0, 0.5 );
    // returns 1.0
    
    v = normhermitepoly( 2, 0.5 );
    // returns -0.75
    
    v = normhermitepoly( -1, 0.5 );
    // returns NaN

    normhermitepoly.factory( n )

    Returns a function for evaluating a normalized Hermite polynomial of degree n.

    var polyval = normhermitepoly.factory( 2 );
    
    var v = polyval( 0.5 );
    // returns -0.75

    Examples

    var randu = require( '@stdlib/random-base-randu');
    var normhermitepoly = require( '@stdlib/math-base-tools-normhermitepoly' );
    
    var xx;
    var yy;
    var x;
    var y;
    var i;
    var j;
    
    for ( i = 0; i < 100; i++ ) {
        x = (randu()*100.0) - 50.0;
        for ( j = 1; j < 3; j++ ) {
            y = normhermitepoly( j, x );
            xx = x.toFixed(3);
            yy = y.toFixed(3);
            console.log( 'He_%d( %d ) = %d', j, xx, yy );
        }
    }

    See Also


    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 © 2016-2022. The Stdlib Authors.

    Install

    npm i @stdlib/math-base-tools-normhermitepoly

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    65

    Version

    0.0.7

    License

    Apache-2.0

    Unpacked Size

    53.2 kB

    Total Files

    11

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser