How to generalize (and not to generalize) the Chu--Vandermonde identity

Abstract

We consider two different interpretations of the Chu--Vandermonde identity: as an identity for polynomials, and as an identity for infinite matrices. Each interpretation leads to a class of possible generalizations, and in both cases we obtain a complete characterization of the solutions.

LaTeX2e, 12 pages. To appear in the American Mathematical Monthly

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