Question: Reconstruct an analytic function w(x,y)=u(x,y)+I v(x,y) from its real part u(x,y):

Reconstruct an analytic function w(x,y)=u(x,y)+I v(x,y) from its real part u(x,y):

how to define the function in Maple.

I'm confused with the definition in Mma,look at this sample:

analyticReconstruct[v_, {x_, y_}, z_] :=
  2 I (v //. {x -> z/2, y -> z/(2 I)}) - I (v //. {x -> 0, y -> 0});

analyticReconstruct[{2 x y, E^x Sin[y]}]

{z^2, -1 + E^z}


 

 

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