In this problem we explore some of the more useful theorems (stated without proof) involvi...

In this problem we explore some of the more useful theorems (stated without proof) involving Hermite polynomials.

(a) The Rodrigues formula says that

Use it to derive H3 and H4.

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(b) The following recursion relation gives you Hn+1 in terms of the two preceding Hermite polynomials:

Use it, togrther with your answer in (a), to obtain H5 and H6.