INTEGRATION BY DIFFERENTIATION

Print ISSN: 2319-1023

Abstract

We employ an expression for the Laplace transform, based in integration by di erentiation, 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 diff differentiation, Lanczos derivative.

A.M.S. subject classification

44A10.

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