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Question: How to summation this?

Question:How to summation this?

ComputerUser 535 Maple
December 08 2012
0

use the formula provided in

http://en.wikipedia.org/wiki/Hermite_polynomials

and run in Maple

Restart;
with(SumTools):
Hn := n!*Summation(((-1)^(n/2-l))/((2*l)!*(n/2-l)!)*((2*x)^(2*l)),l=0..n/2);
genfun := Summation(Hn/n!*z^n,n=0..infinity);

but result is not exp(2*x*t - t^2)
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