Some Remarks on Very-Well-Poised 8ϕ7 Series
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised 8ϕ7 series. In this paper we use this fact to derive various basic hypergeometric and theta function identities. We relate most of them to identities...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2012-06-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2012.039 |