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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(1):57-72; doi:10.1093/qjmam/18.1.57
© 1965 by Oxford University Press
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THE SOLUTION OF TRIPLE INTEGRAL EQUATIONS IN OPERATIONAL FORM

J. C. COOKE

( Royal Aircraft Establishment Farnborough )

A set of three integral equations which has recently been solved by several authors in several different ways is here attacked by operational methods. The operators were introduced by Erdelyi and Sneddon. Here they are extended and some new ones introduced. It is found that most of the original solutions can be obtained more easily and written down more neatly by this means. The intricate analysis, which previously had to be performed each time, is PARTof the operational calculus and can be done once and for all. A generalized form of the original set of equations is also solved by the same means and applied to the problem of two equal coaxial electrified circular disks. Some numerical solutions are given.


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