Factorization of Basic Hypergeometric Series

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• 1. Verfasser: Bradley-Thrush, Jonathan G.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/213525
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Factorization of Basic Hypergeometric Series. Jonathan G. Bradley-Thrush. SIGMA 21 (2025), 051, 20 pages

The general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general ₂₂ 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...