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An inversion formula for the kernel Kv(x)

Published online by Cambridge University Press:  24 October 2008

Charles Fox
Charles Fox
Affiliation:
McGill University
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Abstract

The problem discussed is that of solving the integral equation

where g(x) is given, Kv(z) is associated with Bessel functions of purely imaginary argument and f(x) is to be determined.

I prove that, by means of fractional integration, it is possible to reduce this equation to the form of a Laplace transform which can be solved by known methods.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 457 - 467
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

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