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Operator script does not commute

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Sergio Manzetti
Sergio Manzetti 2017-7-17
编辑： Geoff Hayes 2017-7-17
Hi, I have the given script:
syms f(x,y)
n = 2;
m = 2
res = exp(-i.*(x+y))
for k=1:m
res = simplify(diff(res,x) - x*res);
end
for k=1:n
res = simplify(diff(res,y) - y*res);
end
res = (-1)^(n+m)*res
which should do the following operation (image),
however it does not generate a commutation in the operations. How can this be modified to respect order of commutation?

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