Title: Laplace Transforms Related to Excursions of a One-dimensional Diffusion
Author: Jim Pitman and Marc Yor 
Date: August 1996
Pub: Bernoulli 5, 249-255, 1999
Abstract: 
Various known expressions in terms of hyperbolic functions for the Laplace 
transforms of random times related to one-dimensional Brownian motion are 
derived in a unified way by excursion theory and extended to one-dimensional 
diffusions.