A characterization of some \(q\)-orthogonal polynomials

DOI10.1007/s11139-006-0152-5zbMath1109.33023OpenAlexW2048660109MaRDI QIDQ874912

Somjit Datta, James Griffin

Publication date: 10 April 2007

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-0152-5

zbMATH Keywords

recurrence relations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (9)

Characterizations of ultraspherical polynomials and their $q$-analogues ⋮ Remarks on Askey-Wilson polynomials and Meixner polynomials of the second kind ⋮ A characterization of an Askey–Wilson difference equation ⋮ On discrete coherent pairs of measures ⋮ A characterization of some semi classical orthogonal polynomials ⋮ A characterization of Askey-Wilson polynomials ⋮ Properties of Certain Classes of Semiclassical Orthogonal Polynomials ⋮ Structure relations of classical orthogonal polynomials in the quadratic and \(q\)-quadratic variable ⋮ Unnamed Item

Cites Work

• Some q-orthogonal polynomials
• Difference equations and quantized discriminants for \(q\)-orthogonal polynomials
• Orthogonal Polynomials and Their Derivatives, II
• Another Characterization of the Classical Orthogonal Polynomials
• A New Class of Orthogonal Polynomials: The Bessel Polynomials

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