### Author Topic: Must harmonic polynomial be homogeneous?  (Read 1177 times)

#### Shentao YANG

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##### Must harmonic polynomial be homogeneous?
« on: November 12, 2016, 10:05:03 PM »
Why harmonic polynomial of $deg=n$ must also be homogeneous polynomial of $deg=n$?
Say, $\Delta ({x^2} - {y^2} + z) = 2 - 2 + 0 = 0$, but we do not count $({x^2} - {y^2} + z)$ as harmonic polynomial of $deg=2$.