Let $P(z)=\sum_{i=0}^n a_i z^i$ be a polynomials on $\mathbb{C}[z]$ such that $a_i$ are real numbers.
$|P(z)|^2$ is a harmonic function ?
2026-04-01 18:29:03.1775068143
square of polynomial still harmonic?
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Have you tried any examples? Simplest example to try: $P(z)=z$.