New transformations for elliptic hypergeometric series on the root system \(A_n\)

DOI10.1007/s11139-006-0070-6zbMath1103.33012arXivmath/0305379OpenAlexW2002584895MaRDI QIDQ861556

Hjalmar Rosengren

Publication date: 29 January 2007

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305379

zbMATH Keywords

Elliptic hypergeometric seriesHypergeometric series on root systemsMultiple Bailey transformation

Mathematics Subject Classification ID

Jacobi forms (11F50) Basic hypergeometric functions associated with root systems (33D67)

Related Items (6)

Higher order deformed elliptic Ruijsenaars operators ⋮ A $4n$-Point Elliptic Interpolation Formula and its Applications ⋮ The \(q\)-Dixon-Anderson integral and multi-dimensional \(_1\psi_1\) summations ⋮ Transformations of elliptic hypergeometric integrals ⋮ Duality transformation formulas for multiple elliptic hypergeometric series of type \(BC\) ⋮ An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type \(A\)

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