Any linear combination of real spherical harmonics
![A_lP_l(costheta)+sum_(m=1)^l[A_l^mcos(mphi)+B_l^msin(mphi)]P_l^m(costheta)](/images/equations/SurfaceHarmonic/NumberedEquation1.svg) |
for 
fixed whose sum is not premultiplied by a factor 
(Whittaker and Watson 1990, p. 392).
Surface Harmonic
See also
Solid Harmonic, Spherical HarmonicExplore with Wolfram|Alpha
References
Byerly, W. E. An Elementary Treatise on Fourier's Series, and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics. New York: Dover, p. 197, 1959.Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, 1990.Referenced on Wolfram|Alpha
Surface HarmonicCite this as:
Weisstein, Eric W. "Surface Harmonic." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SurfaceHarmonic.html