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Additional Analytical Inverse Laplace Transforms
Author

Arnaud Mallet
Organization: University of Mauritius
Old MathSource #

0211-105
Revision date

2000-03-28
Description

This package contains additional definitions of Analytical Inverse Laplace transforms that cannot be performed using Mathematica 3.0 & earlier versions. Functions that may be inverted with the package are:

BesselK[0,Sqrt[a s]], a>0.

BesselK[n,a s] , n >= 0 & a>0.

BesselK[n,a s]/(s^p) , n >= 0, p >=0 & a>0.

(s^p)BesselK[n,a s] , n >= 0, p >=0 & a>0.

Cosh[a/s], Cosh[a/s]/Sqrt[s], Cosh[a/s]/(s Sqrt[s]),

Sinh[a/s], Sinh[a/s]/Sqrt[s], Sinh[a/s]/(s Sqrt[s]),

s Log[a s]/(s^2+1),

s Sqrt[s+1]/(s^3+s^2+s+1),

Exp[a s]/(s (Exp[a s] +1 )).
Subject

*Mathematics > Calculus and Analysis > Differential Equations
Keywords

Inverse Laplace Transforms, Analytical
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MoreInvLaplace.m (5 KB) - Mathematica package
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examples.nb (55.8 KB) - Notebook file