Factorization of Basic Hypergeometric Series

2025/07/06 by Bradley-Thrush, Jonathan G.
#Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2507.04313

Abstract

The general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general ₂ψ₂ 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 ₁ψ₁ summation, are obtained incidentally.

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