Difference and Functional Equations Reference

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The document below contains tables and formulas useful for working with functional equations, especially difference equations, and to a lesser extent, quotient equations (where differences are replaced by quotients).

The reference contains tables for differences, sums, quotients, and products. There is also a table of z-transforms, binomial transofroms, formulas for converting certain kinds of functional equations to difference equations and some discrete Taylor series. There are more than 300 formulas in its 30 pages.

This is a work in progress, so be sure to read the preface (which highlights some of the issues with this document). If you find any errors, please comment below.

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FunctionalEquationReference_v1_1.pdf (175 KB).