Some Remarks on Very-Well-Poised ₈∅₇ Series
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Some Remarks on Very-Well-Poised ₈∅₇ Series
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| Creator |
Stokman, J.V.
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| Description |
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised ₈∅₇ 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 ₈∅₇ series. We also provide a link to Chalykh's theory on (rank one, BC type) Baker-Akhiezer functions.
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| Date |
2019-02-18T12:38:03Z
2019-02-18T12:38:03Z 2012 |
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| Type |
Article
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| Identifier |
Some Remarks on Very-Well-Poised ₈∅₇ Series / J.V. Stokman // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 26 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33D15; 33D45 DOI: http://dx.doi.org/10.3842/SIGMA.2012.039 http://dspace.nbuv.gov.ua/handle/123456789/148446 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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