Computing the inverse Laplace transform for rational functions vanishing at infinity

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DOI:

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

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.

Keywords

Laplace transform , rational function , convolution
  • Takahiro Sudo Department of Mathematical Sciences, Faculty of Science, University of the Ryukyus, Senbaru 1, Nishihara, Okinawa 903-0213, Japan.
  • Pages: 97-117
  • Date Published: 2014-10-01
  • Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal

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Published

2014-10-01

How to Cite

[1]
T. Sudo, “Computing the inverse Laplace transform for rational functions vanishing at infinity”, CUBO, vol. 16, no. 3, pp. 97–117, Oct. 2014.