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.

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Heaviside Calculus

Cite this as:

Weisstein, Eric W. "Heaviside Calculus." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HeavisideCalculus.html

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