Question

Problem of complex numbers

Answer 1

Supposing that f(z) = u(z) + iv(z) is analytic in some vicinity N. Prove:
(a)
Uv is armonic in N
(b) \[u ^{2}\] is armonic in N if , and only if f is constant

Answer 2

harmonic is defined here in terms of open sets of \(\mathbb{R}^n\) not (presumably) \(\mathbb{C}\), so this question is ill-posed

Answer 3

post the original question