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Asked Mar 3, 2019
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z is a complex variable z=x+iy

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Given u and v are harmonic in a region R. Prove that the following is analytic in R:
ay ar
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Given u and v are harmonic in a region R. Prove that the following is analytic in R: ay ar

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Expert Answer

Step 1

To establish the analycity of the  function under the given conditions.

Step 2

With this notation, required to prove that f(z) is analytic (with real part P and imaginary part Q)

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Step 3

Recall Cauchy-Riemann conditions for analyticity of the ...

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