Inversion problems in the \(q\)-Hahn tableau

zbMath0953.33005MaRDI QIDQ1971736

A. Zarzo, Eduardo Paciência Godoy, André Ronveaux, IvÁn Area

Publication date: 23 January 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomials\(q\)-Hahn tableauinversion problems

Mathematics Subject Classification ID

Other special orthogonal polynomials and functions (33C47) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (16)

Coefficients of multiplication formulas for classical orthogonal polynomials ⋮ Construction of recurrences for the coefficients of expansions in \(q\)-classical orthogonal polynomials ⋮ Representation of \((p,q)\)-Bernstein polynomials in terms of \((p,q)\)-Jacobi polynomials ⋮ Connection and inversion coefficients for basic hypergeometric polynomials ⋮ Algorithms for construction of recurrence relations for the coefficients of the Fourier series expansions with respect to classical discrete orthogonal polynomials ⋮ Connection coefficients for orthogonal polynomials: Symbolic computations, verifications and demonstrations in the Mathematica language ⋮ Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution ⋮ Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas ⋮ Fourth-order difference equation satisfied by the co-recursive of \(q\)-classical orthogonal polynomials ⋮ On a structure formula for classical \(q\)-orthogonal polynomials ⋮ Extensions of some results of P. Humbert on Bezout's identity for classical orthogonal polynomials ⋮ A general theorem on inversion problems for polynomial sets ⋮ Fourth order \(q\)-difference equation for the first associated of the \(q\)-classical orthogonal polynomials ⋮ Classical orthogonal polynomials: Dependence of parameters ⋮ ON EXISTENCE OF SOLUTIONS FOR NONLINEAR Q-DIFFERENCE EQUATIONS WITH NONLOCAL Q-INTEGRAL BOUNDARY CONDITIONS ⋮ Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm

Cites Work

• Divided difference operators and classical orthogonal polynomials
• Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case
• Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
• Projection formulas for orthogonal polynomials of a discrete variable
• On classical orthogonal polynomials
• Recurrence relations for connection coefficients between two families of orthogonal polynomials
• The special functions and their approximations. Vol. I, II
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• Results for some inversion problems for classical continuous and discrete orthogonal polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Über Polynome, die gleichzeitig zwei verschiedenen Orthogonalsystemen angehören
• Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable
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