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