Factorization of Basic Hypergeometric Series
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/213525 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Factorization of Basic Hypergeometric Series. Jonathan G. Bradley-Thrush. SIGMA 21 (2025), 051, 20 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860298622988451840 |
|---|---|
| author | Bradley-Thrush, Jonathan G. |
| author_facet | Bradley-Thrush, Jonathan G. |
| citation_txt | Factorization of Basic Hypergeometric Series. Jonathan G. Bradley-Thrush. SIGMA 21 (2025), 051, 20 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 transformation formulae, including Gustafson's generalization of Ramanujan's ₁₁ summation, are obtained incidentally.
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| first_indexed | 2026-03-21T18:50:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213525 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T18:50:17Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bradley-Thrush, Jonathan G. 2026-02-18T11:25:04Z 2025 Factorization of Basic Hypergeometric Series. Jonathan G. Bradley-Thrush. SIGMA 21 (2025), 051, 20 pages 1815-0659 2020 Mathematics Subject Classification: 33D15; 33E05; 33D67; 39A13 arXiv:2507.04313 https://nasplib.isofts.kiev.ua/handle/123456789/213525 https://doi.org/10.3842/SIGMA.2025.051 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 transformation formulae, including Gustafson's generalization of Ramanujan's ₁₁ summation, are obtained incidentally. My thanks are due to the referees for their comments and suggestions and for drawing my attention to the papers [16, 17, 21]. The author is supported by the FCT project UIDP/00208/2020. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Factorization of Basic Hypergeometric Series Article published earlier |
| spellingShingle | Factorization of Basic Hypergeometric Series Bradley-Thrush, Jonathan G. |
| title | Factorization of Basic Hypergeometric Series |
| title_full | Factorization of Basic Hypergeometric Series |
| title_fullStr | Factorization of Basic Hypergeometric Series |
| title_full_unstemmed | Factorization of Basic Hypergeometric Series |
| title_short | Factorization of Basic Hypergeometric Series |
| title_sort | factorization of basic hypergeometric series |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213525 |
| work_keys_str_mv | AT bradleythrushjonathang factorizationofbasichypergeometricseries |