CONVOLUTION THEOREM AND APPLICATIONS OF BICOMPLEX LAPLACE TRANSFORM

摘要

Bicomplex analysis is the most recent mathematical tool applied in Physics, Electric circuit theory, Power system load frequency control, Control engineering, Communication, Signal analysis and design, System analysis and solving differential equations. In this paper we prove the inversion formula for bicomplex Laplace transform, some of it's properties and convolution theorem for complexified Laplace transform to bicomplex variables that is capable of transferring signals from real-valued (t) domain to bicomplex frequency (ξ) domain. The bicomplex inverse Laplace transform of a convolution function has been illustrated with the help of an example. Physical Applications of bicomplex Laplace transform in finding solution of bicomplex Maxwell's equation and bicomplex Schr?dinger equation for free particle are given.