> I still don't understand exactly your proposal. We've played with a
> few ideas above, in particular we have considered at least (below d/dz
> is the Wirtinger derivative, d/dx and d/d(iy) are partial derivatives
> with respect to "x" or "iy" in z=x+i*y) :
>
> 1) d/dz
> 2) d/dz + d/d conjugate(z) = d/dx
> 3) d/dz - d/d conjugate(z) = d/d(iy)
> 4) 2 * (d/dz + d/d conjugate(z))
> 5) 2 * d/dz
>
> Which of these do you propose to use? For analytic functions, only 1)
> and 2) reduce to the usual complex derivative. 4) and 5) will be off
> by a factor of 2. For example, for a function z^2 we get:


Correction: For analytic functions, only 1), 2) and 3) reduce to the
usual complex derivative.
(As is shown below on particular examples.)

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