Question

if f(z) = u+iv is an analytic function u and v are both harmonic functions .

Answer 1

yes both of them are harmonic function

Answer 2

Answer:

If f(z) = u(x, y) + iv(x, y) is analytic on a region A then both u and v are harmonic functions on A. Proof. This is a simple consequence of the Cauchy-Riemann equations. ... If u(x, y) is harmonic on a simply connected region A, then u is the real part of an analytic function f(z) = u(x, y) + iv(x, y).

Explanation:

@Hope it's help you !tq