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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
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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 14 , Issue 1 , February 1973 , pp. 65 - 72
Copyright
Copyright © Glasgow Mathematical Journal Trust 1973

References

REFERENCES

1.Lowengrub, M. and Srivastava, K. N., On two coplanar cracks in an infinite elastic medium, Int. J. Eng. Sci. 6 (1968), 359–367.CrossRefGoogle Scholar
2.Tranter, C. J., Integral transforms in mathematical physics(London, 1951).Google Scholar
3.Tricomi, F. A., On the finite Hilbert transformation, Quart. J. Mech. Appl. Math. 2 (1951), 199–211.Google Scholar