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On the two-dimensional derivative of a complex function

On the two-dimensional derivative of a complex function

poor 1. Introduction.We are considering here the two-dimensional derivative of the complex function f(z)=u(x, y)-\-iv(x, y) over a domain D of the complex plane.This special case of higher-dimensional derivatives was treated by Cioranescu [l]1 and by making the limit independent of direction he arrived at a unique derivative, and in …