Inverse Laplace Transform for Bi-Complex Variables
Complex Variables
2014-04-15 v1
Abstract
In this paper we examine the existence of bicomplexied inverse Laplacetransform as an extension of its complexied inverse version within theregion of convergence of bicomplex Laplace transform. In this course weuse the idempotent representation of bicomplex-valued functions as pro-jections on the auxiliary complex spaces of the components of bicomplexnumbers along two orthogonal,idempotent hyperbolic directions.
Cite
@article{arxiv.1403.3313,
title = {Inverse Laplace Transform for Bi-Complex Variables},
author = {Abhijit Banerjee and Sanjib Kumar Datta and Md. Azizul Hoque},
journal= {arXiv preprint arXiv:1403.3313},
year = {2014}
}
Comments
To appear in Mathematical Inverse Problems, Asia Pacific Journal of Mathematics