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.
See also
Differential Operator,
Laplace Transform,
Shift-Invariant
Operator
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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.Referenced on Wolfram|Alpha
Heaviside Calculus
Cite this as:
Weisstein, Eric W. "Heaviside Calculus."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HeavisideCalculus.html
Subject classifications
