Representations for the first associated \(q\)-classical orthogonal polynomials

DOI10.1016/S0377-0427(02)00668-4zbMath1024.33014OpenAlexW2140335697MaRDI QIDQ1863294

Stanisław Lewanowicz

Publication date: 11 March 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00668-4

zbMATH Keywords

orthogonal polynomialsconnection problemassociated orthogonal polynomials\(q\)-classical polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (9)

Coefficients of multiplication formulas for classical orthogonal polynomials ⋮ Construction of recurrences for the coefficients of expansions in \(q\)-classical orthogonal polynomials ⋮ Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials ⋮ Задачі зв’язності для узагальнених гіпергеометричних многочленів Аппеля ⋮ Inversion, Multiplication and Connection Formulae of Classical Continuous Orthogonal Polynomials ⋮ Nonnegative linearization coefficients of the generalized Bessel polynomials ⋮ Generalization of matching extensions in graphs -- combinatorial interpretation of orthogonal and \(q\)-orthogonal polynomials ⋮ Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution ⋮ A new family of orthogonal polynomials in three variables

Cites Work

• Unnamed Item
• Unnamed Item
• A q-integral representation of Rogers' q-ultraspherical polynomials and some applications
• Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials
• Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On the \(q\)-polynomials: A distributional study
• \(q\)-classical polynomials and the \(q\)-Askey and Nikiforov-Uvarov tableaus

This page was built for publication: Representations for the first associated \(q\)-classical orthogonal polynomials