Elliptic beta integrals and modular hypergeometric sums: An overview.

DOI10.1216/rmjm/1030539690zbMath1040.33017OpenAlexW2041222737MaRDI QIDQ1415040

Vyacheslav P. Spiridonov, Jan Felipe van Diejen

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-2/CONT32-2/CONT32-2.html

zbMATH Keywords

Nassrallah-Rahman integralelliptic generalization of the Denis-Gustafson sumelliptic Selberg-type integralMacdonald-Morris constant

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other functions defined by series and integrals (33E20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items

Summation formulae for elliptic hypergeometric series ⋮ S-duality and 2d topological QFT ⋮ A study of \(\mathcal{N} = 1\) SCFT derived from \(\mathcal{N} = 2\) SCFT: index and chiral ring ⋮ Extensions of the well-poised and elliptic well-poised Bailey lemma ⋮ Abel's method on summation by parts and theta hypergeometric series ⋮ Surface defects and chiral algebras ⋮ The superconformal index of the \(E_{6}\) SCFT ⋮ Theta hypergeometric integrals

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