On The Degenerate Laplace Transform - I

Abstract

We make an attempt in this paper to extend the very recent work of Kim and Kim [24] on degenerate Laplace transform.  Using the definition of the degenerate Laplace transform as given by Kim and Kim [24] and some of the results developed by them in this study we prove  the first and second translation theorems and the change of scale property for the degenerate Laplace transform and give some illustrations  highlighting the applications of these results for the degenerate Laplace transform of a function,