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The determination of Green's Function by means of Cylindrical or Spherical Harmonics

Published online by Cambridge University Press:  20 January 2009

John Dougall
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In the following paper, the determination of Green's function, for spaces bounded by surfaces of the cylindrical and spherical polar systems, is effected by what is believed to be a novel process, in which are utilised the properties of cylindrical and spherical harmonics, regarded as functions of their parameters.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 18 , February 1900 , pp. 33 - 83
Copyright
Copyright © Edinburgh Mathematical Society 1900

References

* “On the Critical Values of the Sums of Periodic Series.” (Collected Works, vol. I., p. 301.)