- #1
cummings12332
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Homework Statement
f(z)=z(bar(z))^2+2(bar(z))z^2 ,then calculate the total differential of f viewed as a map from R^2->R^2 . determine the points at which f is complex differentiable , is f holomorhpic anywhere?
2. The attempt at a solution
i did the first part and for secund part i use the Jocobian ,for if it is differentiable then if follow the cachy rieman equations which is 9x^2+3y^2=x^2+3y^2, and 6xy=-2xy the solution for the equation systems is x=o y is real , so it can be differentiable at (o,y) y is real number ,does it right? if it is ,then How should i found holomorphic anywhere?