Abstract
We recall that a spherical harmonic is a hotnegeneous function of x, y, z of certain degree n which satisfies Laplacc equation. Thus, if V(x,y,z.) is such a function of degree K, then xVx+yVy+zV2 = 7vN{\,y,7,), and = ~ important result in the theory of harmonic functions is that any harmonic function can be expressed in a series involving the spherical harmonics.
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