Bromwich integral
From Wikipedia, the free encyclopedia
In mathematics, the Bromwich integral or inverse Laplace transform of F(s) is the function f(t) which has the property
where 
is the Laplace transform. The Bromwich integral is thus sometimes simply called the inverse Laplace transform.
The Laplace transform and the inverse Laplace transform together have a number of properties that make them useful for analysing linear dynamic systems.
The Bromwich integral, also called the Fourier-Mellin integral, is a line integral defined by:
where the integration is done along the vertical line x=c in the complex plane such that c is greater than the real part of all singularities of F(s).
The name is for Thomas John I'Anson Bromwich (1875-1929).
[edit] See also
[edit] References
- Davies, Brian, Integral transforms and their applications (Springer, New York, 1978). ISBN 0-387-90313-5
- A. D. Polyanin and A. V. Manzhirov, Handbook of Integral Equations, CRC Press, Boca Raton, 1998. ISBN 0-8493-2876-4
- Tables of Integral Transforms at EqWorld: The World of Mathematical Equations.
