scipy.special.eval_hermitenorm

scipy.special.eval_hermitenorm(n, x, out=None) = <ufunc 'eval_hermitenorm'>

Evaluate probabilist’s (normalized) Hermite polynomial at a point.

Defined by

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

\(He_n\) is a polynomial of degree \(n\).

Parameters:

n : array_like

Degree of the polynomial

x : array_like

Points at which to evaluate the Hermite polynomial

Returns:

He : ndarray

Values of the Hermite polynomial

See also

roots_hermitenorm

roots and quadrature weights of probabilist’s Hermite polynomials

hermitenorm

probabilist’s Hermite polynomial object

numpy.polynomial.hermite_e.HermiteE

Probabilist’s Hermite series

eval_hermite

evaluate physicist’s Hermite polynomials