期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Gustafson-Rakha-Type Elliptic Hypergeometric Series | |
article | |
Hjalmar Rosengren1  | |
[1] Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg | |
关键词: elliptic hypergeometric series; multivariable hypergeometric series; Jackson summation; Bailey transformation; | |
DOI : 10.3842/SIGMA.2017.037 | |
来源: National Academy of Science of Ukraine | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300001026ZK.pdf | 334KB | download |