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In an earlier paper  , 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'). which arises in combinatorial contexts and whose Laplace transform may be assigned by means of an extension of techniques described in the previous paper. and discuss the Laplace transform of F(t). Deakin's  technique for assigning Laplace transforms todoi:10.1017/s0334270000010663 fatcat:qgk6mbgzcrajtlbqrhu44x4b5u