The hermite polynomials I am saying is defined by the recursive relation $f_{n+1}(x)=2xf_n(x)-f_n'(x)$ with $f_0=1$. I need to prove that they have the relation $f'_n(x)=2nf_{n-1}(x)$. I tried everything I know but cannot prove this relation. Could anyone please help me?
2026-03-25 00:06:33.1774397193
How to prove that the hermite polynomials are a Appell sequence?
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