# Physicist's Hermite Polynomial
> Evaluate a physicist's [Hermite polynomial][hermite-polynomial].
The physicist's [Hermite polynomials][hermite-polynomial] are given by
## Usage
```javascript
var hermitepoly = require( '@stdlib/math/base/tools/hermitepoly' );
```
#### hermitepoly( n, x )
Evaluates a physicist's [Hermite polynomial][hermite-polynomial] of degree `n`.
```javascript
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][hermite-polynomial] of degree `n`.
```javascript
var polyval = hermitepoly.factory( 2 );
var v = polyval( 0.5 );
// returns -1.0
```
## Examples
```javascript
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 ) );
}
}
```
[hermite-polynomial]: https://en.wikipedia.org/wiki/Hermite_polynomials
