Computing the inverse Laplace transform for rational functions vanishing at infinity

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

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Autor principal: Sudo,Takahiro
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300008
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spelling oai:scielo:S0719-064620140003000082018-10-08Computing the inverse Laplace transform for rational functions vanishing at infinitySudo,Takahiro Laplace transform rational function convolution We compute explicitly the inverse Laplace transform for rational functions vanishing at infinity in the general case. We also compute explicitly convolution product for continuous elementary functions involved in the general case. We then consider algebraic structure about the Laplace transform via convolution product.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.3 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300008en10.4067/S0719-06462014000300008
institution Scielo Chile
collection Scielo Chile
language English
topic Laplace transform
rational function
convolution
spellingShingle Laplace transform
rational function
convolution
Sudo,Takahiro
Computing the inverse Laplace transform for rational functions vanishing at infinity
description We compute explicitly the inverse Laplace transform for rational functions vanishing at infinity in the general case. We also compute explicitly convolution product for continuous elementary functions involved in the general case. We then consider algebraic structure about the Laplace transform via convolution product.
author Sudo,Takahiro
author_facet Sudo,Takahiro
author_sort Sudo,Takahiro
title Computing the inverse Laplace transform for rational functions vanishing at infinity
title_short Computing the inverse Laplace transform for rational functions vanishing at infinity
title_full Computing the inverse Laplace transform for rational functions vanishing at infinity
title_fullStr Computing the inverse Laplace transform for rational functions vanishing at infinity
title_full_unstemmed Computing the inverse Laplace transform for rational functions vanishing at infinity
title_sort computing the inverse laplace transform for rational functions vanishing at infinity
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000300008
work_keys_str_mv AT sudotakahiro computingtheinverselaplacetransformforrationalfunctionsvanishingatinfinity
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