@stdlib/math-base-tools-hermitepoly

Evaluate a physicist's Hermite polynomial.

Usage no npm install needed!

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README

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 ) );
    }
}

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.