ASYMPTOTIC LAPLACE TRANSFORMS AND WATSON'S LEMMA

Asymptotic Laplace Transforms and Evolution Equations

The h-Laplace and q-Laplace transforms

Article history: Received 12 May 2009 Available online 6 October 2009 Submitted by B.S. Thomson

A note on the comparison between Laplace and Sumudu transforms

Laplace Transforms and Its Applications

Laplace transform is a very powerful mathematical tool applied in various areas of engineering and science. With the increasing complexity of engineering problems, Laplace transforms help in solving complex problems with a very simple approach just like the applications of transfer functions to solve ordinary differential equations. This paper will discuss the applications of Laplace transforms...

The Method of Laplace and Watson’s Lemma

in this paper we present a diferent proof of a well known asymptotic estimate for Laplace integrals. The novelty of our approach is that it emphasizes, and rigorously justifies, the appealing heuristic method of Laplace. As a bonus, we also obtain a simple and short proof of Watson’s Lemma. Let a be an element of the extended real number set [−∞,∞]. If lim x−→a f(x)/g(x) = 1 we write f(x) ∼ g(x...