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Transform solutions of Dirichlet problems in quarter-spaces

Published online by Cambridge University Press:  18 May 2009

I. N. Sneddon
I. N. Sneddon
Affiliation:
University of Glasgow, Glasgow G12 8QW
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In a recent paper, Boudjelkha and Diaz [1] have considered the solutions of the Dirichlet problems for Laplace's equation

and for Helmholtz's equation

in¼–ℝn. The purpose of this brief note is to show that their formulae may be derived easily by the use of the theory of multiple Fourier transforms.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 15 , Issue 2 , September 1974 , pp. 156 - 158
Copyright
Copyright © Glasgow Mathematical Journal Trust 1974

References

REFERENCES

1.Boudjelkha, M. T. and Diaz, J. B., Applicable analysis 2, 1 (1972).Google Scholar
2.Erdèlyi, A. (editor), Tables of integral transforms (New York, 1954).Google Scholar
3.Sneddon, I. N., The use of integral transforms (New York, 1972).Google Scholar