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The solution of dual series and dual integral equations

Published online by Cambridge University Press:  18 May 2009

W. E. Williams
Affiliation:
The University Liverpool
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There exist several different approaches to the problem of solving dual integral equations involving Bessel Functions [1, 2, 3, 4, 5, 6,7], and Erdelyi and Sneddon in a recent paper [8] have shown that the introduction of certain operators occurring in the theory of fractional integration enables the relationships between the various methods to be clearly demonstrated. For dual integral equations other than those involving Bessel Functions the operators introduced by Erdélyi and Sneddon are not always the appropriate ones to use and it seems to be of interest to consider this more general type of situation.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1964

References

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