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On An Inversion Formula For The Laplace Transformation

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
University of Alberta, and Summer Research Institute
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1. Introduction. The literature of the Laplace transformation contains many examples of inversion operators. Particular attention has been given in this literature to the so-called “real” inversion operators, that is, those operators which make use of values of the generating function arising only from real values of the independent variable.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 101 - 115
Copyright
Copyright © Canadian Mathematical Society 1955

References

1. Erdélyi, A., The inversion of the Laplace integral, Math. Mag., 24 (1950-51), 1–7.Google Scholar
2. Rooney, P. G., A new inversion and representation theory for the Laplace transformation. Can. J. Math., 4 (1953), 436–444.Google Scholar
3. Watson, G. N., A treatise on Bessel functions (2nd. ed., New York, 1941).Google Scholar
4. Widder, D. V., The Laplace Transform (Princeton, 1941).Google Scholar