README
Normalized Hermite Polynomial
Evaluate a normalized Hermite polynomial.
The normalized (aka "probabilist") Hermite polynomials are given by
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 );
}
}
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.
Community
License
See LICENSE.
Copyright
Copyright © 2016-2022. The Stdlib Authors.