Quadratic decomposition of symmetric semi-classical polynomial sequences of even class: an example from the cases = 2

DOI10.1080/10236198.2011.579118zbMath1254.42034OpenAlexW2000747062MaRDI QIDQ3165732

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Publication date: 19 October 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.579118

zbMATH Keywords

orthogonal polynomialsquadratic decompositionsymmetric sequencessemi-classical sequences

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 (16)

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 ⋮ A description via second degree character of a family of quasi-symmetric forms ⋮ On the symmetric \(H_q\)-semiclassical polynomial sequences of even class. Some examples from the class two ⋮ Characterization of the symmetricD-Laguerre–Hahn orthogonal polynomial sequences of even class via the quadratic decomposition ⋮ Quadratic decomposition of bivariate orthogonal polynomials ⋮ A positive definite linear functional of class \(s=2\), generalization of Chebyshev polynomials ⋮ 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 ⋮ Quadratic decomposition of the symmetric semi-classical polynomial sequences of odd class: some examples from the class three ⋮ On a 2-orthogonal polynomial sequence via quadratic decomposition ⋮ Cubic decomposition of a family of semiclassical polynomial sequences of class one ⋮ On a family of a semiclassical orthogonal polynomial sequences of class two ⋮ The Kontorovich-Lebedev Transform as a Map betweend-Orthogonal Polynomials

Cites Work

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• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• On the assignment of a Dirac-mass for a regular and semi-classical form
• Variations around classical orthogonal polynomials. Connected problems
• An introduction to second degree forms
• Symmetric laguerre-hahn forms of classs=1
• Generalized Jacobi orthogonal polynomials

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