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A generalization of the Laplace transform

Published online by Cambridge University Press:  24 October 2008

H. S. Dunn
H. S. Dunn
Affiliation:
University of Rochester, New York
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Abstract

An integral transformation is denned over a finite interval of the time domain. When the Laplace transform exists, the finite transform yields identical results. However, the finite transform is found to be considerably more general than the Laplace transform. It permits consideration of functions which are not of exponential order, leads to a simple scheme to determine system response, and is applicable to boundary-value problems.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 1 , January 1967 , pp. 155 - 160
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

REFERENCES

(1)Jeffreys, H. and Jeffreys, B. S.Methods of mathematical physics, 3rd edition, p. 459 (Cambridge, 1956).Google Scholar
(2)Jeffreys, H. and Jeffreys, B. S.Methods of mathematical physics, 3rd edition, p. 699 (Cambridge, 1956).Google Scholar
(3)Widder, D. V.The Laplace transform (Princeton, 1941).Google Scholar
(4)LePage, W. R.Complex variables and the Laplace transform for engineers (McGraw-Hill, 1961).Google Scholar
(5)van der Pol, B. and Bremmer, H.Operational calculus based on the two-sided Laplace integral (Cambridge, 1950).Google Scholar
(6)LePage, W. R.Complex variables and the Laplace transform for engineers, p. 268 (McGraw-Hill, 1961).Google Scholar