Geodesic
Transform solutions of Dirichlet problems in quarter-spaces
Glasgow mathematical journal, Tome 15 (1974) no. 2, pp. 156-158

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In a recent paper, Boudjelkha and Diaz [1] have considered the solutions of the Dirichlet problems for Laplace's equationand for Helmholtz's equationin1⁄4–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. 
Sneddon, I. N. Transform solutions of Dirichlet problems in quarter-spaces. Glasgow mathematical journal, Tome 15 (1974) no. 2, pp. 156-158. doi: 10.1017/S0017089500002330
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[1] 1.Boudjelkha, M. T. and Diaz, J. B., Applicable analysis 2, 1 (1972). Google Scholar

[2] 2.Erdèlyi, A. (editor), Tables of integral transforms (New York, 1954). Google Scholar

[3] 3.Sneddon, I. N., The use of integral transforms (New York, 1972). Google Scholar

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