Combinatorial identities and hypergeometric series
Combinatorics
2022-04-13 v1 Classical Analysis and ODEs
Abstract
This paper describes a method to find a connection between combinatorial identities and hypergeometric series with a number of examples. Combinatorial identities can often be written as hypergeometric series with unit argument. In a number of cases these hypergeometric series are balanced and can be reduced to a simpler form. In this paper some combinatorial identities are proved using this method assuming that the results in the tables of Prudnikov et al. [12] are proven without using hypergeometric functions.
Cite
@article{arxiv.2204.05647,
title = {Combinatorial identities and hypergeometric series},
author = {Enno Diekema},
journal= {arXiv preprint arXiv:2204.05647},
year = {2022}
}