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 $_2\psi_2$ series is examined in detail. Connections are found with the theory of basic hypergeometric series on root systems. Alternative proofs of several well-known summat...
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| Published in: | Symmetry, integrability and geometry, methods and applications |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
01.01.2025
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| ISSN: | 1815-0659, 1815-0659 |
| Online Access: | Get full text |
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| Summary: | The general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general $_2\psi_2$ 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 $_1\psi_1$ summation, are obtained incidentally. |
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| ISSN: | 1815-0659 1815-0659 |
| DOI: | 10.3842/SIGMA.2025.051 |