Representations for the first associated \(q\)-classical orthogonal polynomials
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Publication:1863294
DOI10.1016/S0377-0427(02)00668-4zbMath1024.33014OpenAlexW2140335697MaRDI QIDQ1863294
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
orthogonal polynomialsconnection problemassociated orthogonal polynomials\(q\)-classical polynomials
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
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- 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
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