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A theorem in infinite products

Published online by Cambridge University Press:  24 October 2008

W. L. V. Price
W. L. V. Price
Affiliation:
The Polytechnic of the South Bank
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Extract

Certain infinite products occur in potential problems involving plane boundaries and elements, such as line charges, which produce logarithmic potentials. In this paper, the author derives a theorem which is used to evaluate a particular product which arose in the calculation of the electric potential distribution in a flat, square sheet of conducting material when an electric current enters and leaves respectively at line-contact electrodes attached to adjacent corners of the square.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 191 - 193
Copyright
Copyright © Cambridge Philosophical Society 1974

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References

REFERENCES

(1)Whittaker, E. T. and Watson, G. N.A course of modern analysis (Cambridge University Press, 1965).Google Scholar