orthax.hermite_e.hermenorm

orthax.hermite_e.hermenorm(n)Source

Norm of nth Hermite_e polynomial.

The norm \(\gamma_n\) is defined such that

\(\int_{-\inf}^{\inf} He_n^2(x) \exp(-x^2/2) dx = \gamma_n^2\)

With this definition \(\gamma_n^2 = \sqrt{2 \pi} n!\)

Parameters:

n (int) – Order of Hermite_e polynomial.

Returns:

gamma_n (float) – Norm of the nth Hermite_e polynomial.