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Explicit solutions for a class of dual integral equations

Published online by Cambridge University Press:  14 November 2011

R. S. Anderssen ,
F. R. de Hoog  and
L. R. F. Rose
R. S. Anderssen
Affiliation:
Division of Mathematics and Statistics, CSIRO, Canberra City, A.C.T. 2601, Australia
F. R. de Hoog
Affiliation:
Division of Mathematics and Statistics, CSIRO, Canberra City, A.C.T. 2601, Australia
L. R. F. Rose
Affiliation:
Aeronautical Research Laboratories, Melbourne, Vic. 3001, Australia
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Synopsis

An explicit solution is derived for the dual integral equations

when A(ξ) takes the form

It is then shown how the basic technique can be adapted to derive explicit solutions for more general forms of A(ξ) such as

and

and linear combinations of such sums.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 91 , Issue 3-4 , 1982 , pp. 277 - 285
Copyright
Copyright © Royal Society of Edinburgh 1982

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References

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