Computing the inverse Laplace transform for rational functions vanishing at infinity

Takahiro Sudo

doi:10.4067/S0719-06462014000300008

Computing the inverse Laplace transform for rational functions vanishing at infinity

Authors

Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.

DOI:

https://doi.org/10.4067/S0719-06462014000300008

Keywords:

Laplace transform, rational function, convolution

Abstract

We compute explicitly the inverse Laplace transform for rational functions vanishing at infinity in the general case. We also compute explicitly convolution product for con- tinuous elementary functions involved in the general case. We then consider algebraic structure about the Laplace transform via convolution product.