Some remarks on very-well-poised 8ϕ7 series
| Authors | |
|---|---|
| Publication date | 2012 |
| Journal | Symmetry, Integrability and Geometry : Methods and Applications (SIGMA) |
| Article number | 039 |
| Volume | Issue number | 8 |
| Number of pages | 17 |
| Organisations |
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| Abstract |
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 from the existing literature on basic hypergeometric series. This leads for example to a new derivation of a known quadratic transformation formula for very-well-poised 8ϕ7 series. We also provide a link to Chalykh's theory on (rank one, BC type) Baker-Akhiezer functions. |
| Document type | Article |
| Note | online journal; art. nr. en aantal pag. kwamen niet mee in overzicht, daarom op deze manier genoteerd. |
| Language | English |
| Published at | https://doi.org/10.3842/SIGMA.2012.039 |
| Downloads |
Stokman_SIGMA_8_2012.pdf
(Final published version)
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| Permalink to this page | |
