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Integrals with a large parameter: Hilbert transforms
Published online by Cambridge University Press: 24 October 2008
Abstract
A simple and elegant method of treating one-sided Hilbert transforms
has recently been described by Wong (7). This method immediately gives the form of the expansion but some of the coefficients in the expansion are in an inconvenient form for either analytical or numerical calculation. In the present paper it is shown that these coefficients can be readily determined when the Mellin transform of f(t) is known. The case is treated as an example.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 93 , Issue 1 , January 1983 , pp. 141 - 149
- Copyright
- Copyright © Cambridge Philosophical Society 1983
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