Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors - Open Access Library Journal

OALibJ > Vol.4 No.7, July 2017

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

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DOI: 10.4236/oalib.1103741 838 Downloads 2,548 Views

Author(s)

Uriel Salmeron-Rodriguez

Affiliation(s)

Centro de Ingenieria y Desarrollo Industrial (CIDESI), Queretaro, Mexico.

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.

KEYWORDS

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

Share and Cite:

Salmeron-Rodriguez, U. (2017) Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors. Open Access Library Journal, 4, 1-11. doi: 10.4236/oalib.1103741.

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