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arXiv · 1005.4256

Bijective Proofs of Gould's and Rothe's Identities

Victor J. W. Guo
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Abstract

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.

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Victor J. W. Guo. 2010-05-24. Bijective Proofs of Gould's and Rothe's Identities. https://doi.org/10.1016/j.disc.2007.04.020

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