Inverse Laplace Transform for Bi-Complex Variables
  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. 
Abhijit Banerjee, Sanjib Kumar Datta, Md. Azizul Hoque
math.CV