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

Published 24 Apr 2018 in math.CO and math.AC | (1804.08919v1)

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.

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