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- W2762928908 abstract "We list $A_n$, $C_n$ and $D_n$ extensions of the elliptic WP Bailey transform and lemma, given for $n=1$ by Andrews and Spiridonov. Our work requires multiple series extensions of Frenkel and Turaev's terminating, balanced and very-well-poised ${}_{10}V_9$ elliptic hypergeometric summation formula due to Rosengren, and Rosengren and Schlosser. In our study, we discover two new $A_n$ ${}_{12}V_{11}$ transformation formulas, that reduce to two new $A_n$ extensions of Bailey's $_{10}phi_9$ transformation formulas when the nome $p$ is $0$, and two multiple series extensions of Frenkel and Turaev's sum." @default.
- W2762928908 created "2017-10-20" @default.
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- W2762928908 date "2018-03-22" @default.
- W2762928908 modified "2023-09-30" @default.
- W2762928908 title "Elliptic Well-Poised Bailey Transforms and Lemmas on Root Systems" @default.
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- W2762928908 doi "https://doi.org/10.3842/sigma.2018.025" @default.
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