Notes on the Binomial Transform ― Theory and Table With Appendix on Stirling Transform

Boyadzhiev (Ohio Northern University) defines a number of properties of the binomial transform, and presents theorems which help compute binomial transforms and help generate new formulas and identities from known ones. A table compiles binomial transform identities that can be used in combinatorics and analysis, grouped according to harmonic numbers, binomial coefficients, special numbers, polynomials, exponential functions, and trigonometric functions. An appendix develops the Stirling transform of sequences. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)