J Austral Math Soc Ser B 37 pp279--287, 1996.

The Laplace transform of exp(e t)

Michael A. B. Deakin

(Received 20 October 1992; revised 29 July 1993)

Abstract

In an earlier paper [4], the author showed how Laplace transforms might be assigned to a class of superexponential functions for which the usual defining integral diverges. The present paper considers the case of the function exp(e t ), which arises in combinatorial contexts and whose Laplace transform may be assigned by means of an extension of techniques described in the previous paper.

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Author

Michael A. B. Deakin
Department of Mathematics, Monash University, Clayton, Victoria 3168, Australia.

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