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Infinite matrices in the theory of orthogonal polynomials (Q2658260)

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Language	Label	Description	Also known as
English	Infinite matrices in the theory of orthogonal polynomials	scientific article

Statements

scholarly article

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Infinite matrices in the theory of orthogonal polynomials (English)

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Luis Verde-Star

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publication date

19 March 2021

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-56190-1_11

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On characterizations of classical polynomials

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A matrix approach to polynomials.

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Matrix approach to polynomials. II

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Another Characterization of the Classical Orthogonal Polynomials

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Representation of doubly infinite matrices as non-commutative Laurent series

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An algebraic approach to Sheffer polynomial sequences

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Recurrence relations and determinant forms for general polynomial sequences. Application to Genocchi polynomials

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A matrix characterization for the \(D_\nu\)-semiclassical and \(D_\nu\)-coherent orthogonal polynomials

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A matrix approach for the semiclassical and coherent orthogonal polynomials

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Polynomial Translation Groups

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Combinatorial and Functional Identities in One-Parameter Matrices

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Hypergeometric Orthogonal Polynomials and Their q-Analogues

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Recurrence equations and their classical orthogonal polynomial solutions

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New characterizations of classical orthogonal polynomials

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New results on the Bochner condition about classical orthogonal polynomials

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Classical orthogonal polynomials: A functional approach

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(\(M,N\))-coherent pairs of linear functionals and Jacobi matrices

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

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Characterizations of classical orthogonal polynomials on quadratic lattices

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Maps on infinite triangular matrices preserving idempotents

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Derivations of Rings of Infinite Matrices

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Every infinite triangular matrix is similar to a generalized infinite Jordan matrix

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Groups of generalized Pascal matrices

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Infinite triangular matrices, \(q\)-Pascal matrices, and determinantal representations

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Characterization and construction of classical orthogonal polynomials using a matrix approach

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Recurrence coefficients and difference equations of classical discrete orthogonal and \(q\)-orthogonal polynomial sequences

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Polynomial sequences generated by infinite Hessenberg matrices

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A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-56190-1_11

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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:2658260

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