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On An Inversion Formula For The Laplace Transformation, II

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
University of Toronto
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In an earlier paper (3) we discussed at some length a certain inversion operator for the Laplace transformation. If

I

then the inversion operator is given by

II ,

and we showed that if v > — 1, then under certain conditions

.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 49 - 52
Copyright
Copyright © Canadian Mathematical Society 1956

References

1. Doetsch, G., Handbuch der Laplace-Transformation, vol. 1 (Basel, 1950).Google Scholar
2. Erdélyi, A., Higher transcendental functions (Bateman Manuscript Project, Vol. 2, New-York, 1954).Google Scholar
3. Rooney, P. G., On an inversion formula for the Laplace transformation, Can. J. Math., 7 (1955), 101–115.Google Scholar