Bijective Proofs of Gould's and Rothe's Identities
Combinatorics
2010-05-25 v1
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 -Chu-Vandermonde formula.
Cite
@article{arxiv.1005.4256,
title = {Bijective Proofs of Gould's and Rothe's Identities},
author = {Victor J. W. Guo},
journal= {arXiv preprint arXiv:1005.4256},
year = {2010}
}
Comments
4 pages