# scipy.special.hermitenorm¶

scipy.special.hermitenorm(n, monic=False)[source]

Normalized (probabilist’s) Hermite polynomial.

Defined by

$He_n(x) = (-1)^ne^{x^2/2}\frac{d^n}{dx^n}e^{-x^2/2};$

$$He_n$$ is a polynomial of degree $$n$$.

Parameters
nint

Degree of the polynomial.

monicbool, optional

If True, scale the leading coefficient to be 1. Default is False.

Returns
Heorthopoly1d

Hermite polynomial.

Notes

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

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