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Question: Repeated complex differentiation

Question:Repeated complex differentiation

ursl 5 Maple
complex diff
June 03 2011
1

Hi,

I want to apply a complex differential operator to an expression "polynomial in the imaginary part * differential operator".

I have been unable to figure out how to do that using a formal operator and a concrete one that takes care of differentiating the polynomial.

In more detail:

Let $d$ be (my complex number is $x+iy$)

$d:=\frac{\partial}\partial x}- i\frac{\partial}{\partial y}$

which I want to apply to

$p(y) d$

where $p(y)$ is (an explicitly given) polynomial in y.

I would be happy about any suggestions! Thanks a lot!
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