Question: Let f, g: R2 R be differentiable and satisfy the Cauchy-Riemann equations; that is, that hold on R2. u(r, 0) = f(r cos θ, r

Let f, g: R2 †’ R be differentiable and satisfy the Cauchy-Riemann equations; that is, that

Let f, g: R2 †’ R be differentiable and satisfy

hold on R2. u(r, 0) = f(r cos θ, r sin θ) and v(r, θ) = g(r cos θ, r sin θ), prove that

Let f, g: R2 †’ R be differentiable and satisfy

af=ag ax ay ar=-ag af ag and ay x u 1a 1 au ar raer rae

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