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Laplace Transforms and Generalized Laguerre Polynomials

Published online by Cambridge University Press:  20 November 2018

P. G. Rooney
P. G. Rooney*
Affiliation:
University of Toronto
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Various sets of necessary and sufficient conditions are known in order that a function ƒ(s), analytic for Re s > 0, be represented as the Laplace transform of a function in Lp(0,∞), 1 < p ⩽ ∞ . Most of these theories are based on the properties of some inversion operator for the transformation— see, for example, (7, chap. 7). However in the case p = 2 a number of representation theorems of a much simpler type are available.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 10 , 1958 , pp. 177 - 182
Copyright
Copyright © Canadian Mathematical Society 1958

References

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4. Rooney, P. G., On an inversion formula for the Laplace transformation, Can. J. Math., 7 (1955), 101–115.Google Scholar
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