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II.—On Hadamard's Elementary Solution*

Published online by Cambridge University Press:  14 February 2012

E. T. Copson
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Extract

Hadamard elementary solutions are found for the tri-axially symmetric potential equation in space of three dimensions and for the bi-axially symmetric potential equation in space of two dimensions. The elementary solutions involve hypergeometric functions of several variables.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 69 , Issue 1 , 1970 , pp. 19 - 27
Copyright
Copyright © Royal Society of Edinburgh 1970

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References

References to Literature

[1]Burkill, J. C., 1951. The Lebesgue Integral. Cambridge U.P.CrossRefGoogle Scholar
[2]Copson, E. T., 1928. “On Electrostatics in a Gravitational Field”, Proc. Roy. Soc., A 118, 184–194.Google Scholar
[3]Copson, E. T., 1935. The Theory of Functions of a Complex Variable. Oxford U.P.Google Scholar
[4]Erdélyi, A., and others, 1953. Higher Transcendental Functions, Vol. I. New York: McGraw-Hill.Google Scholar
[5]Hadamard, J., 1923. Lectures on Cauchy's Problem. Yale U.P.Google Scholar
[6]Hobson, E. W., 1926. The Theory of Functions of a Real Variable, Vol. II. Cambridge U.P.Google Scholar