TITLE:
Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors
AUTHORS:
Uriel Salmeron-Rodriguez
KEYWORDS:
Laplace Inverse Transform, Multivalued Functions, Integration Contour, Stehfest Numerical Method
JOURNAL NAME:
Open Access Library Journal,
Vol.4 No.7,
July
6,
2017
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.