@stdlib/math-base-tools-hermitepoly
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    0.0.5 • Public • Published

    Physicist's Hermite Polynomial

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    Evaluate a physicist's Hermite polynomial.

    The physicist's Hermite polynomials are given by

    Equation for physicist's Hermite polynomials.

    Installation

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

    Usage

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

    hermitepoly( n, x )

    Evaluates a physicist's Hermite polynomial of degree n.

    var v = hermitepoly( 1, 1.0 );
    // returns 2.0
    
    v = hermitepoly( 1, 0.5 );
    // returns ~1.0
    
    v = hermitepoly( -1, 0.5 );
    // returns NaN
    
    v = hermitepoly( 0, 0.5 );
    // returns 1.0
    
    v = hermitepoly( 2, 0.5 );
    // returns -1.0

    hermitepoly.factory( n )

    Returns a function for evaluating a physicist's Hermite polynomial of degree n.

    var polyval = hermitepoly.factory( 2 );
    
    var v = polyval( 0.5 );
    // returns -1.0

    Examples

    var randu = require( '@stdlib/random-base-randu');
    var hermitepoly = require( '@stdlib/math-base-tools-hermitepoly' );
    
    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 = hermitepoly( j, x );
            console.log( 'H_%d( %d ) = %d', j, x.toFixed( 3 ), y.toFixed( 3 ) );
        }
    }

    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-tools-hermitepoly

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    12

    Version

    0.0.5

    License

    Apache-2.0

    Unpacked Size

    51.2 kB

    Total Files

    11

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
    • planeshifter
    • rreusser