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An inversion formula for the kernel Kv(x)
Published online by Cambridge University Press: 24 October 2008
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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