Analytic real world functions
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Which of the following real functions u(x,y) of two real variables are the real parts of an analytic function f(z) with z=x+iy
a) u(x,y) = x^3-y^3
b) u(x,y)=x^2-y^2+y
IN each case compute f(z) if it exists
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Solution Summary
This provides an example of determining if functions are parts of analytic functions.
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