An algebraic treatment of the Askey biorthogonal polynomials on the unit circle

DOI10.1017/fms.2021.60OpenAlexW3204911354MaRDI QIDQ5163763

Luc Vinet, Alexei Zhedanov

Publication date: 8 November 2021

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01779

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other special orthogonal polynomials and functions (33C47)

Related Items (3)

Bispectrality and biorthogonality of the rational functions of \(q\)-Hahn type ⋮ An algebraic treatment of the Pastro polynomials on the real line ⋮ Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems

Cites Work

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• Two linear transformations each tridiagonal with respect to an eigenbasis of the other
• On a class of biorthogonal polynomials on the unit circle

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