Re: Inverse Laplace Transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg108966] Re: Inverse Laplace Transform*From*: Leslaw Bieniasz <nbbienia at cyf-kr.edu.pl>*Date*: Thu, 8 Apr 2010 08:03:24 -0400 (EDT)*Organization*: Academic Computer Center CYFRONET AGH*References*: <hphq5p$1hm$1@smc.vnet.net>

Hi, I have reformulated my problem, and now I am getting different terms in the form: 1/Sqrt[s*(s+a)]/(s-b) for which the inverse Laplace transform should exist. However, MATHEMATICA still does not give me the formula for the inverse. It returns the correct inverse for 1/Sqrt[s*(s+a)], but not for the above expression, to which it should, in principle, apply the convolution theorem. Leslaw On Wed, 7 Apr 2010, Leslaw Bieniasz wrote: > > Hi, > > I need to find an inverse Laplace transform of the > expression: > > Sqrt[s*(s+a)]/(s-b) > > where "s" is the Laplace variable, "a" is a real positive constant, > and "b" is a real constant that can be either positive or negative. > I have tried the InverseLaplaceTransform[] function, but it > returns the original expression. My question is: does this mean > that the inverse transform does not exist, or only Mathematica > cannot find it? > Also, if anybody knows where I could possibly find the inverse > in any book, or how I might obtain the inverse otherwise, I would > appreciate an information. Abramowitz and Stegun book does not have it. > > Leslaw > > *-----------------------------------------------------------------------* | Dr. Leslaw Bieniasz, | | Institute of Physical Chemistry of the Polish Academy of Sciences, | | Department of Complex Systems and Chemical Processing of Information | | ul. Niezapominajek 8, 30-239 Cracow, Poland. | | tel. (room) +48 (12) 6395212 tel./fax. (secretariat) +48 (12) 4251923 | | E-mail: nbbienia at cyf-kr.edu.pl | | and | | Faculty of Physics, Mathematics and Applied Computer Science, | | Cracow University of Technology, | | ul. Warszawska 24, 31-155 Cracow, Poland. | *-----------------------------------------------------------------------* | Interested in Computational Electrochemistry? | | Visit my web site: http://www.cyf-kr.edu.pl/~nbbienia | *-----------------------------------------------------------------------*