Linearization coefficients for Sheffer polynomial sets via lowering operators

DOI10.1155/IJMMS/2006/54263zbMath1116.33008OpenAlexW1983751835MaRDI QIDQ884188

N. E. Zubov

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53235

zbMATH Keywords

linearization coefficientsSheffer polynomialslowering operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximations and expansions (41-XX)

Related Items (4)

Operational rules and d-orthogonal polynomials of Laguerre type ⋮ Linearization coefficients for Boas-Buck polynomial sets ⋮ Generating functions via integral transforms ⋮ Operational rules and a generalized Hermite polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann series
• Convolution structures associated with orthogonal polynomials
• Convolution structures for Laguerre polynomials
• Linearization and connection coefficients for hypergeometric-type polynomials
• Linearization of the product of symmetric orthogonal polynomials
• Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
• Some results on quasi-monomiality.
• Orthogonality of some polynomial sets via quasi-monomiality.
• A necessary and sufficient condition for nonnegative product linearization of orthogonal polynomials
• Connection problems via lowering operators
• Connection coefficients between Boas--Buck polynomial sets
• Products of Appell polynomials
• Generalized linearization problems
• The Product of Certain Polynomials Analogous to the Hermite Polynomials
• Some Clebsch-Gordan type linearisation relations and other polynomial expansions associated with a class of generalised multiple hypergeometric series arising in physical and quantum chemical applications
• Weighted Derangements and the Linearization Coefficients of Orthogonal Sheffer Polynomials
• Linearization of the product of orthogonal polynomials of a discrete variable
• Nonnegative Linearization and Quadratic Transformation of Askey-Wilson Polynomials
• Linearization of the Product of Jacobi Polynomials. I
• Linearization of the Product of Jacobi Polynomials. III
• On the Reducibility of Appell's Function F₄
• A combinatorial formula for the linearization coefficients of general Sheffer polynomials
• Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas
• Some connection and linearization problems for polynomials in and beyond the Askey scheme

This page was built for publication: Linearization coefficients for Sheffer polynomial sets via lowering operators