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# scipy.special.hermitenorm

`scipy.special.``hermitenorm`(n, monic=False)

  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: | n : int Degree of the polynomial. monic : bool, optional If True, scale the leading coefficient to be 1. Default is False.
  Returns: | He : orthopoly1d Hermite polynomial.

  Notes

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