On Laplace Transforms Near the Origin

On Laplace Transforms Near the Origin

Let /(f) be locally integrable on [0, °°) and let L{f}(s) denote the Laplace transform of /(f). In this note, we prove that if/(f) ~ f Sh=q an(log f)~ as f -> °°, where 0 < Re ß < 1, then /.{/}($) ~ s^1 2^=0 cn('°8 '/*)"" as s ->• 0 in larg si « 7r/2 A, the cn being constants.

A note on the comparison between Laplace and Sumudu transforms

On the Behavior of Fourier Sine Transforms near the Origin

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