Let $u:\mathbb{C} \rightarrow \mathbb{R}$.
Prove that $u$ is an harmonic function iff $u(z) = f(z) + g(\bar{z})$ where $f,g$ are holomorphic functions.
I'd be happy for a hint
Thanks!
Let $u:\mathbb{C} \rightarrow \mathbb{R}$.
Prove that $u$ is an harmonic function iff $u(z) = f(z) + g(\bar{z})$ where $f,g$ are holomorphic functions.
I'd be happy for a hint
Thanks!