bundles / scipy 1.17.1 / scipy / special / _orthogonal / hermitenorm

function

`scipy.special._orthogonal:hermitenorm`

source: /scipy/special/_orthogonal.py :1434

Signature

def hermitenorm ( n , monic = False )

Summary

Normalized (probabilist's) Hermite polynomial.

Extended Summary

Defined by

H e_{n} (x) = (- 1)^{n} e^{x^{2} /2} \frac{d ^{n}}{d x ^{n}} e^{- x^{2} /2};

$H e_{n}$ is a polynomial of degree $n$ .

Parameters

n : int: Degree of the polynomial.
monic : bool, optional: If True, scale the leading coefficient to be 1. Default is False.

Returns

He : orthopoly1d: Hermite polynomial.

Notes

The polynomials $H e_{n}$ are orthogonal over $(- \infty, \infty)$ with weight function $e^{- x^{2} /2}$ .

Aliases

scipy.special.hermitenorm