UnilateralConvolve

UnilateralConvolve[f, g, u, t] gives the unilateral convolution with respect to u of the expressions f and g.

UnilateralConvolve[f, g, {u1, ..., un}, {t1, ..., tn}] gives the multidimensional unilateral convolution.

Examples

Convolve two functions:

UnilateralConvolve[Exp[-a u], Exp[-b u], u, t]
(* (E^(-b t) - E^(-a t))/(a - b) *)

Convolve with unit step:

UnilateralConvolve[1, Sin[u], u, t]
(* 1 - Cos[t] *)

Please visit the official Wolfram Language Reference for more details.