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Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors

DOI: 10.4236/oalib.1103741, PP. 1-11

Subject Areas: Mathematical Logic and Foundation of Mathematics, Mathematical Analysis

Keywords: Laplace Inverse Transform, Multivalued Functions, Integration Contour, Stehfest Numerical Method

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Abstract

In this work, we present four results for the Laplace inverse transform of functions that involve the nth root of a product of linear factors. In order to find the Laplace inverse transform, we considered a branch cut for the nth root and a region of suitable integration, to avoid the branching points. Due to that, the solution is in terms of integrals, we easily approach this solution for some specific parameters.

Cite this paper

Salmeron-Rodriguez, U. (2017). Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors. Open Access Library Journal, 4, e3741. doi: http://dx.doi.org/10.4236/oalib.1103741.

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