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arXiv:1005.4256 [math.CO]AbstractReferencesReviewsResources

Bijective Proofs of Gould's and Rothe's Identities

Victor J. W. Guo

Published 2010-05-24Version 1

We first give a bijective proof of Gould's identity in the model of binary words. Then we deduce Rothe's identity from Gould's identity again by a bijection, which also leads to a double-sum extension of the $q$-Chu-Vandermonde formula.

Comments: 4 pages
Journal: Discrete Math. 308 (2008), 1756--1759
Categories: math.CO
Subjects: 05A19
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