Problem

Suppose g(x) is a twice differentiable real function and f is a complex function defined b...

Suppose g(x) is a twice differentiable real function and f is a complex function defined by f(z) = g(x) + iy2. Determine where f(z) is differentiable and where it is analytic. Where did you use the hypothesis that g is twice differentiable?

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Solutions For Problems in Chapter 3.3