q-Chebyshev polynomials and their q-classical characters

DOI10.15393/j3.art.2022.10330zbMath1492.33007OpenAlexW4214819447MaRDI QIDQ5086606

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Publication date: 6 July 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa344

zbMATH Keywords

\(q\)-difference equationorthogonality measure\(H_q\)-semiclassical polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• The \(H_q\)-classical orthogonal polynomials
• Semi-classical character and finite-type relations between polynomial sequences
• The \(I_{(q,\omega)}\) classical orthogonal polynomials
• An introduction to the \(H_q\)-semiclassical orthogonal polynomials
• An introduction to second degree forms
• On discrete \(q\)-extensions of Chebyshev polynomials
• The Classical Orthogonal Polynomials
• q-Extension of generalized Gegenbauer polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Algebraic equation and symmetric second degree forms of class two
• Incomplete q-Chebyshev polynomials
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