View source for Closed formula for physicist's Hermite polynomials

==Theorem==
The following formula holds:
$$H_n(x)=\displaystyle\sum_{k=0}^{\left\lfloor \frac{n}{2} \right\rfloor} \dfrac{(-1)^k n! (2k)^{n-2k}}{k! (n-2k)!},$$
where $H_n$ denotes the [[Hermite (physicist)|physicist's Hermite polynomials]] and $k!$ denotes the [[factorial]].
==Proof==

==References==
* {{BookReference|Special Functions|1960|Earl David Rainville|prev=Generating function for Hermite (physicist) polynomials|next=findme}}: $103. (2)$

[[Category:Theorem]]
[[Category:Unproven]]