scipy.special.hermite¶
-
scipy.special.
hermite
(n, monic=False)[source]¶ Physicist’s Hermite polynomial.
Defined by
\[H_n(x) = (-1)^ne^{x^2}\frac{d^n}{dx^n}e^{-x^2};\]\(H_n\) 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
- Horthopoly1d
Hermite polynomial.
Notes
The polynomials \(H_n\) are orthogonal over \((-\infty, \infty)\) with weight function \(e^{-x^2}\).