Theory of Natural Transform

Fethi Bin Muhammad Belgacem; R. Silambarasan

Fethi Bin Muhammad Belgacem Arab Open University
R. Silambarasan

Keywords: Fourier Transform, Laplace Transform, Sumudu Transform, Natural Transform, Special Functions

Abstract

Nature of the Natural transform is, it converges to Laplace and Sumudu transform. The theme of this paper is to give detailed study of Natural transform. The Natural transform is derived from the Fourier Integral. We showed it to the theoretical dual of Laplace and Sumudu transforms. This work includes Natural-multiple shift theorems, Bromwich contour integral and Heviside's Expansion formula for Inverse Natural transform.