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Published online by Cambridge University Press: 20 January 2009
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.
* Cf. a paper “On a certain expression for a spherical harmonio, with some extensions,” Proc. Ediu. Math. Soc, Vol. VIII.Google Scholar
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