Inverse Laplace Transform

*To*: mathgroup at smc.vnet.net*Subject*: [mg108940] Inverse Laplace Transform*From*: Leslaw Bieniasz <nbbienia at cyf-kr.edu.pl>*Date*: Wed, 7 Apr 2010 07:26:58 -0400 (EDT)

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