Factorization of Basic Hypergeometric Series
Combinatorics
2025-07-08 v1 Classical Analysis and ODEs
Quantum Algebra
Abstract
The general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general series is examined in detail. Connections are found with the theory of basic hypergeometric series on root systems. Alternative proofs of several well-known summation and transformation formulae, including Gustafson's generalization of Ramanujan's summation, are obtained incidentally.
Cite
@article{arxiv.2507.04313,
title = {Factorization of Basic Hypergeometric Series},
author = {Jonathan G. Bradley-Thrush},
journal= {arXiv preprint arXiv:2507.04313},
year = {2025}
}