# Normalization of Hermite Polynomials

Knowing that {Hn}, n = 0, 1, 2... are orthogonal and

(Ho, Ho) = sqrt pi, (Hn, Hn) = 2n(Hn-1, Hn-1), nEN

with respect to a suitable weight function p(x), write down first two orthonormal Hermite polynomials.

Please see attachment for proper formatting.

© BrainMass Inc. brainmass.com October 10, 2019, 6:20 am ad1c9bdddfhttps://brainmass.com/math/number-theory/normalization-hermite-polynomials-540357

#### Solution Preview

You just have to normalize them so that the norm becomes 1.

So, (H0,H0) = ...

#### Solution Summary

We explain how to obtain the proper normalization of the Hermite polynomials.

$2.19