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Notes on Spherical Harmonics

Published online by Cambridge University Press:  20 January 2009

John Dougall
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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.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , February 1913 , pp. 30 - 35
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