How to generalize (and not to generalize) the Chu--Vandermonde identity
Combinatorics
2020-01-17 v1 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.1804.08919,
title = {How to generalize (and not to generalize) the Chu--Vandermonde identity},
author = {Alan D. Sokal},
journal= {arXiv preprint arXiv:1804.08919},
year = {2020}
}
Comments
LaTeX2e, 12 pages. To appear in the American Mathematical Monthly