Mathematics – Combinatorics
Scientific paper
2010-05-24
Mathematics
Combinatorics
7 pages, to appear in Ars Combin
Scientific paper
Using the model of words, we give bijective proofs of Gould-Mohanty's and Raney-Mohanty's identities, which are respectively multivariable generalizations of Gould's identity $$\sum_{k=0}^{n}{x-kz\choose k}{y+kz\choose n-k}= \sum_{k=0}^{n}{x+\epsilon-kz\choose k}{y-\epsilon+kz\choose n-k} $$ and Rothe's identity $$ \sum_{k=0}^{n}\frac{x}{x-kz}{x-kz\choose k}{y+kz\choose n-k}= {x+y\choose n}. $$
No associations
LandOfFree
Bijective proofs of Gould-Mohanty's and Raney-Mohanty's identities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bijective proofs of Gould-Mohanty's and Raney-Mohanty's identities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bijective proofs of Gould-Mohanty's and Raney-Mohanty's identities will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-118833