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On a certain expression for a spherical harmonic, with some extensions

Published online by Cambridge University Press:  20 January 2009

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The object of this paper is to show how the leading properties of Spherical Harmonic Functions may be readily deduced by employing as a typical harmonic a certain simple algebraical expression, which obviously satisfies Laplace's equation; and to extend a similar method to the case of any number of variables.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1889