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 \(e^{-x^2/2}\).