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Symmetric \(q\)-Dunkl-coherent pairs (Q6125388)

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scientific article; zbMATH DE number 7830967

Language	Label	Description	Also known as
English	Symmetric \(q\)-Dunkl-coherent pairs	scientific article; zbMATH DE number 7830967

Statements

scholarly article

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Symmetric \(q\)-Dunkl-coherent pairs (English)

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Mohamed Khalfallah

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Mediterranean Journal of Mathematics

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publication date

11 April 2024

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zbMATH Keywords

orthogonal polynomials

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symmetric polynomials

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\(q\)-Dunkl operator

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\(q\)-Dunkl-classical orthogonal polynomials

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\(q\)-Dunkl-coherent pair

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00009-024-02586-4

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Characterization of \(q\)-Dunkl-classical symmetric orthogonal \(q\)-polynomials

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On linearly related sequences of difference derivatives of discrete orthogonal polynomials

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Classification of all δ-Coherent Pairs

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\Delta -Coherent Pairs and Orthogonal Polynomials of a Discrete Variable

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\(q\)-coherent pairs and \(q\)-orthogonal polynomials

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On semi-classical linear functionals of class \(s=1\). Classification and integral representations

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Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials

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Characterizations of the symmetric \(T_{(\theta, q)}\)-classical orthogonal \(q\)-polynomials

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On another extension of coherent pairs of measures

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Integral Kernels with Reflection Group Invariance

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The symmetrical \(H_q\)-semiclassical orthogonal polynomials of class one

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On polynomials orthogonal with respect to certain Sobolev inner products

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\((M,N)\)-coherent pairs of order \((m,n)\) and Sobolev orthogonal polynomials

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On linearly related sequences of derivatives of orthogonal polynomials

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An introduction to the \(H_q\)-semiclassical orthogonal polynomials

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The \(H_q\)-classical orthogonal polynomials

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Orthogonal polynomials on Sobolev spaces: Old and new directions

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Classical orthogonal polynomials: A functional approach

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Asymptotics of Sobolev orthogonal polynomials for symmetrically coherent pairs of measures with compact support

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Orthogonal polynomials and coherent pairs: The classical case

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What is beyond coherent pairs of orthogonal polynomials?

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Semi-classical character and finite-type relations between polynomial sequences

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Asymptotics of Sobolev orthogonal polynomials for coherent pairs of measures

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On the \(q\)-polynomials: A distributional study

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Determination of all coherent pairs

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On Sobolev orthogonal polynomials with coherent pairs. The Jacobi case

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Asymptotics for Sobolev orthogonal polynomials with coherent pairs: The Jacobi case, type 1

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Some results on Dunkl-coherent Pairs

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Identifiers

10.1007/s00009-024-02586-4

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6125388

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