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

Not what you're looking for? Search our solutions OR ask your own Custom question.

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 .

See attached file for full problem description.

Â© BrainMass Inc. brainmass.com May 24, 2023, 1:35 pm ad1c9bdddfhttps://brainmass.com/math/complex-analysis/to-find-the-analytic-function-f-z-u-iv-when-u-is-given-27426

#### 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.

$2.49