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Symmetry, Integrability and Geometry: Methods and Applications, 2017, Volume 13, 037, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.037 (Mi sigma1237) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Gustafson–Rakha-Type Elliptic Hypergeometric Series

Hjalmar Rosengren

Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2017.037
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.
Keywords: elliptic hypergeometric series; multivariable hypergeometric series; Jackson summation; Bailey transformation.
Funding agency
This research is supported by the Swedish Science Research Council (Vetenskapsrådet).
Received: February 2, 2017; in final form May 29, 2017; Published online June 1, 2017
Bibliographic databases:
Document Type: Article
MSC: 33D67
Language: English
Citation: Hjalmar Rosengren, “Gustafson–Rakha-Type Elliptic Hypergeometric Series”, SIGMA, 13 (2017), 037, 11 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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