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# To find the analytic function f(z) = u + iv when u is given.

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Functions of a Complex Variables
Analytic Functions

If u = sin x . cosh y + 2cos x . sinh y + x2 - y2 + 4xy ,
then prove that u is a harmonic function and find the analytic function f(z) = u + iv .

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##### Solution Summary

This solution is comprised of a detailed explanation for harmonic function and finding the analytic function f(z) = u + iv.
It contains step-by-step explanation for the following problem:-

If u = sin x . cosh y + 2cos x . sinh y + x2 - y2 + 4xy ,
then prove that u is a harmonic function and find the analytic function f(z) = u + iv .
Solution contains detailed step-by-step explanation.

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###### Education
• BSc, Manipur University
• MSc, Kanpur University
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