Laplace–Carson transform

The Laplace-Carson transform is a mathematical operation that generalizes the Laplace transform. It is particularly useful in the context of transforms that deal with functions of multiple variables or stochastic processes. In the standard form, the Laplace transform of a function \( f(t) \) is given by: \[ F(s) = \int_0^\infty e^{-st} f(t) \, dt \] where \( s \) is a complex variable.