Continuous biorthogonality of an elliptic hypergeometric function

DOI10.1090/S1061-0022-09-01073-5zbMath1206.33015arXiv0801.4137MaRDI QIDQ3079275

Vyacheslav P. Spiridonov

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4137

zbMATH Keywords

special functionscompletely integrable systemsSklyanin algebraFaddeev modular double

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hypergeometric functions associated with root systems (33C67) Elliptic integrals as hypergeometric functions (33C75) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items

From principal series to finite-dimensional solutions of the Yang-Baxter equation, Introduction to the theory of elliptic hypergeometric integrals, Matrix factorization for solutions of the Yang-Baxter equation, New elliptic solutions of the Yang-Baxter equation, Difference operators of Sklyanin and van Diejen type., Elliptic Racah polynomials, Finite-dimensional representations of the elliptic modular double, Intertwining operators for Sklyanin algebra and elliptic hypergeometric series, Elliptic modular double and 4d partition functions, Surface defects and elliptic quantum groups

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