The numerical performance of Tricomi's formula for inverting the Laplace transform

Abstract

Summary.-A method for inverting the Laplace transform which uses an expansion into Laguerre polynomials is considered. By means of a recently established generalization of the Euler-Knopp transformation the rate of convergence of the series of Laguerre polynomials is accelerated. For computing the transformed series a recursive algorithm is given. Results of theoretical and practical nature make the usefulness of the new transformation evident.