Heaviside Calculus

The study, first developed by Boole, of shift-invariant operators which are polynomials in the differential operator . Heaviside calculus can be used to solve any ordinary differential equation of the form

with , and is frequently implemented using Laplace transforms.

REFERENCES:

Rota, G.-C.; Kahaner, D.; Odlyzko, A. "On the Foundations of Combinatorial Theory. VIII: Finite Operator Calculus." J. Math. Anal. Appl. 42, 684-760, 1973.