1998/11/07 by Robert Milson, R. Milson, Milson, R.
Mathematics · #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematical functions and polynomials #math.CO
paper · pdf · doi:10.48550/arxiv.math/9811041
5 pages
arxiv created 1998/11/07 · openalex publication_date 1998/11/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present note considers a certain family of sums indexed by the set of fixed length compositions of a given number. The sums in question cannot be realized as weighted compositions. However they can be be related to the hypergeometric function, thereby allowing one to factorize the corresponding generating polynomials. This factorization leads to some interesting identities.