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Gustafson-Rakha-Type Elliptic Hypergeometric Series
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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| dc.contributor.author | Rosengren, H. | |
| dc.date.accessioned | 2019-02-18T16:49:27Z | |
| dc.date.available | 2019-02-18T16:49:27Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Gustafson-Rakha-Type Elliptic Hypergeometric Series / H. Rosengren // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 33D67 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2017.037 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148636 | |
| dc.description.abstract | We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further multivariable elliptic Jackson summations and two multivariable elliptic Bailey transformations. The latter four results are all new even in the trigonometric case. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Elliptic Hypergeometric Functions and Their Applications. The full collection is available at https://www.emis.de/journals/SIGMA/EHF2017.html. This research is supported by the Swedish Science Research Council (Vetenskapsr˚adet). I would like to thank the anonymous referee for a very careful reading of the manuscript, leading to many improvements. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Gustafson-Rakha-Type Elliptic Hypergeometric Series | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
