On the general cubic decomposition of polynomial sequences

DOI10.1080/10236190903527236zbMath1232.33017OpenAlexW2054871163MaRDI QIDQ3093747

Teresa A. Mesquita, Pascal Maroni, Zélia da Rocha

Publication date: 18 October 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190903527236

zbMATH Keywords

orthogonal polynomialscubic transformation

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)

Related Items (18)

\(H_q\)-semiclassical orthogonal polynomials via polynomial mappings ⋮ Chebyshev polynomials via quadratic and cubic decompositions of the canonical sequence ⋮ Other family of cubic decomposition of a semiclassical form of class one ⋮ On the characterizations of third-degree semiclassical forms via polynomial mappings ⋮ On the cubic decomposition of a family ofG_q-semiclassical polynomial sequences of class one ⋮ The symmetrization problem for multiple orthogonal polynomials ⋮ Characterization theorem for strict third-degree semiclassical forms of class one obtained via cubic decomposition ⋮ Several characterizations of third-degree semiclassical linear forms of class two appearing via cubic decomposition ⋮ Characterization of theD-Laguerre–Hahn orthogonal polynomials of class one via the cubic decomposition ⋮ Appell polynomial sequences with respect to some differential operators ⋮ Cubic decomposition of 2-orthogonal polynomial sequences ⋮ Third-degree semiclassical forms of class one arising from cubic decomposition ⋮ Cubic decomposition of a family of semiclassical orthogonal polynomials of class two ⋮ Symbolic approach to the general quadratic polynomial decomposition ⋮ On semiclassical orthogonal polynomials via polynomial mappings ⋮ A description of second degree semiclassical forms of class two arising via cubic decomposition ⋮ Cubic decomposition of a family of semiclassical polynomial sequences of class one ⋮ Third-order self-associated orthogonal polynomial sequences

Cites Work

• Orthogonality properties of iterated polynomial mappings
• Orthogonal polynomials and cubic transformations
• Variations around classical orthogonal polynomials. Connected problems
• On sieved orthogonal polynomials. X: General blocks of recurrence relations
• Semi-classical character and finite-type relations between polynomial sequences
• Über die Jacobischen Polynome und zwei verwandte Polynomklassen
• LES POLYNÔMES ORTHOGONAUX „CLASSIQUES“ DE DIMENSION DEUX
• Sieved Orthogonal Polynomials. VII: Generalized Polynomial Mappings
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