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Notes on Spherical Harmonics

Published online by Cambridge University Press:  20 January 2009

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This paper contains

(a) an explicit solution of the problem of finding a function which is harmonic within a given sphere and takes at the surface the same value as a given rational integral homogeneous function of the rectangular coordinates of a point referred to the centre of the sphere as origin;

(b) a concise symbolical expression for the integral, over the surface of the sphere, of the product of any three rational integral spherical harmonics.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1913

References

* Cf. a paper “On a certain expression for a spherical harmonio, with some extensions,” Proc. Ediu. Math. Soc, Vol. VIII.Google Scholar