Gustafson-Rakha-Type Elliptic Hypergeometric Series

Rosengren, H.

Gustafson-Rakha-Type Elliptic Hypergeometric Series

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.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.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	https://nasplib.isofts.kiev.ua/handle/123456789/148636
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.status	published earlier	uk_UA
dc.title	Gustafson-Rakha-Type Elliptic Hypergeometric Series	uk_UA
dc.type	Article	uk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік