arXiv:1804.08919 Abstract | arXiv Analytics

arXiv:1804.08919 [math.CO]Abstract References Reviews Resources

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

Published 2018-04-24Version 1

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.

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

Categories: math.CO, math.AC

Subjects: 05A19, 05A10, 05A15, 05A40, 13B25, 15A24, 15B36, 33C47

Keywords: chu-vandermonde identity, generalize, complete characterization, interpretation

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