From: israel@math.ubc.ca (Robert Israel)
Newsgroups: sci.math
Subject: Re: Inverse Laplace transform
Date: 5 Oct 1995 16:32:13 GMT

In article <44rmcj$1ua@driene.student.utwente.nl>, otterw@utctu8.ct.utwente.nl (Wouter den Otter) writes:
|> Does there exist a (analytic) method for inverse Laplace
|> transforming a function? I mean, not for the simple tabulated
|> functions, but for some realy akward function. Numerical
|> inversion techniques are also welcome.

The Laplace inversion formula, also known as the Bromwich integral formula:

f(t) = (2 pi i)^(-1) int_{a-i infinity}^{a+i infinity} F(s) exp(s t) ds

(assuming that F(s) is analytic in the half-plane Re(s) >= a with
|F(s)| <= m/|s|^k there, for some positive constants m and k).

See most books with titles similar to "Complex Variables and Applications". 
 
-- 
Robert Israel                            israel@math.ubc.ca
Department of Mathematics             (604) 822-3629
University of British Columbia            fax 822-6074
Vancouver, BC, Canada V6T 1Y4