Duality transformation formulas for multiple elliptic hypergeometric series of type \(BC\)

DOI10.1007/s00365-015-9316-0zbMath1358.33014arXiv1410.6921OpenAlexW2213878125MaRDI QIDQ730087

Yasuho Masuda, Masatoshi Noumi, Yasushi Komori

Publication date: 23 December 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6921

zbMATH Keywords

summation formulatransformation formulamultiple elliptic hypergeometric seriesRuijsenaars-van Diejen difference operator

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Basic hypergeometric functions associated with root systems (33D67) Elliptic functions and integrals (33E05)

Cites Work

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• Kernel identities for van Diejen's \(q\)-difference operators and transformation formulas for multiple basic hypergeometric series
• New transformations for elliptic hypergeometric series on the root system \(A_n\)
• Transformations of elliptic hypergeometric integrals
• Kernel functions for difference operators of Ruijsenaars type and their applications
• Karlsson--Minton type hypergeometric functions on the root system \(C_{n}\)
• Elliptic hypergeometric series on root systems.
• Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
• On Warnaar's elliptic matrix inversion and Karlsson--Minton-type elliptic hypergeometric series
• Summation and transformation formulas for elliptic hypergeometric series.
• Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications
• Quantum integrability of the generalized elliptic Ruijsenaars models
• Integrability of difference Calogero–Moser systems

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