We employ an expression for the Laplace transform, based in integration by dierentiation, to deduce the Post-Widders formula for the inversion of
this transform. Besides, we apply the Kempf et al process to deduce the Lanczos generalized derivative.
Keywords and Phrases
Inversion of the Laplace transform, Post-Widders formula, Orthogonal derivative, Integration by diffdifferentiation, Lanczos derivative.
A.M.S. subject classiﬁcation