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The solution of certain triple integral equations involving inverse Mellin transforms†

Published online by Cambridge University Press:  18 May 2009

J. Tweed
Affiliation:
University of Glasgow, Glasgow, G12 8QQ
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In this paper, we shall be concerned with the solution of triple integral equations of the type

where M−1 is the inverse Mellin transform, nis a positive integer, and — 1 < Res < 0. The use of these equations will be illustrated by their application to two well-known problems in the mathematical theory of elasticity and further applications will be reported later.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973