Geodesic
Gustafson–Rakha-Type Elliptic Hypergeometric Series
Symmetry, integrability and geometry: methods and applications, Tome 13 (2017) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{SIGMA_2017_13_a36,
     author = {Hjalmar Rosengren},
     title = {Gustafson{\textendash}Rakha-Type {Elliptic} {Hypergeometric} {Series}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2017},
     volume = {13},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a36/}
}
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Hjalmar Rosengren. Gustafson–Rakha-Type Elliptic Hypergeometric Series. Symmetry, integrability and geometry: methods and applications, Tome 13 (2017). http://geodesic.mathdoc.fr/item/SIGMA_2017_13_a36/

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