Three-term relations between interpolation polynomials for a \(BC_n\)-type basic hypergeometric series

DOI10.1016/j.aim.2010.11.013zbMath1245.33014OpenAlexW2084449070MaRDI QIDQ631799

Masahiko Ito

Publication date: 14 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.aim.2010.11.013

zbMATH Keywords

\(q\)-difference equations\(BC_n\)-type Jackson integralGustafson's integralNassrallah-Rahman integral

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13) Basic hypergeometric functions associated with root systems (33D67)

Related Items (2)

Evaluation of the $BC_n$ elliptic Selberg integral via the fundamental invariants ⋮ A determinant formula associated with the elliptic hypergeometric integrals of type BC n

Cites Work

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• On the Sears-Slater basic hypergeometric transformations
• On certain multiple Bailey, Rogers and Dougall type summation formulas
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• Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials
• Jacobi Polynomials Associated with Selberg Integrals
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• Properties of some families of hypergeometric orthogonal polynomials in several variables
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• An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
• Self-dual Koornwinder-Macdonald polynomials

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