Rarefied elliptic hypergeometric functions

DOI10.1016/j.aim.2018.04.014zbMath1480.33009arXiv1609.00715OpenAlexW2963619603MaRDI QIDQ1647398

Vyacheslav P. Spiridonov

Publication date: 26 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.00715

zbMATH Keywords

elliptic functionsroot systemselliptic hypergeometric functionselliptic hypergeometric equation

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) (q)-gamma functions, (q)-beta functions and integrals (33D05) Elliptic functions and integrals (33E05) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items

Integrability as duality: the gauge/YBE correspondence, Introduction to the theory of elliptic hypergeometric integrals, Theory and applications of the elliptic Painlevé equation, From rarefied elliptic beta integral to parafermionic star-triangle relation, The rarefied elliptic Bailey lemma and the Yang–Baxter equation, The star-triangle relation and 3\(d\) superconformal indices, Exceptional indices, Orbifolds and exact solutions of strongly-coupled matrix models, Transformation properties of hypergeometric functions and their applications, General modular quantum dilogarithm and beta integrals, A parafermionic hypergeometric function and supersymmetric \(6j\)-symbols, The importance of the Selberg integral, The endless beta integrals, Elliptic hypergeometric function and $6j$-symbols for the SL(2,$\mathbb{C}$) group, Elliptic hypergeometric sum/integral transformations and supersymmetric lens index, 4d \( \mathcal{N}=1\) quiver gauge theories and the \(A_n\) Bailey lemma, Proof for a \(q\)-trigonometric identity of Gosper, Lens elliptic gamma function solution of the Yang–Baxter equation at roots of unity

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