Bijective proofs of Gould's and Rothe's identities

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.

• Type: Journal
• Year: 2008
• Where: DM
• Authors: Victor J. W. Guo
• Keywords: Bijective Proof, Binary Words, DM 2008, Double-sum Extension