Integral Transforms

Definitions of some transforms and their inverses are given below.

1. Laplace transform: L{f(t)} ≡ F (s) = f(s) = ∫ ∞

f(t) e−st dt, {s} > 0,

and its inverse: L−1{F (s)} ≡ f(t) = 1 2πi

∫ c+i∞

c−i∞ F (s) est ds, c > 0.