Category:Definitions/Zonal Harmonics

This category contains definitions related to Zonal Harmonics.
Related results can be found in Category:Zonal Harmonics.

Let $H$ be a spherical harmonic in the form:

$r^n \paren {a_n \map {P_n} {\cos \theta} + \ds \sum_{m \mathop = 1}^n \paren { {a_n}^m \cos m \phi + {b_n}^m \sin m \phi} \map { {P_n}^m} {\cos \theta} }$

The function $\map {P_n} {\cos \theta}$ is known as a zonal harmonic.