- #1

kmitza

- 17

- 4

If ##g: D \rightarrow \mathbb{C} ## is a harmonic function and ##f: D' \rightarrow D ## is holomorphic. If ## f= u +iv ## prove that

$$h = g(u(x,y),v(x,y)) $$ is harmonic.

My attempt was to just calculate the derivatives and obtain that it is zero but I got stuck in the calculation. It is entirely possible that this is an easy problem as I am not an analysis person but I would like to know if there is a simpler way of proving this than straight calculation?