BESSEL POLYNOMIALS AND SOME CONNECTION FORMULAS IN TERMS OF THE ACTION OF LINEAR DIFFERENTIAL OPERATORS

DOI10.15826/umj.2022.2.001OpenAlexW4313319574MaRDI QIDQ5884730

Baghdadi Aloui, Jihad Souissi

Publication date: 24 March 2023

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj168

zbMATH Keywords

classical orthogonal polynomialslinear functionalsBessel polynomialsconnection formulasraising operators

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Characterization of \(q\)-Dunkl Appell symmetric orthogonal \(q\)-polynomials
• Characterization of Laguerre polynomials as orthogonal polynomials connected by the Laguerre degree raising shift operator
• Variations around classical orthogonal polynomials. Connected problems
• The \(D_ \omega\)-classical orthogonal polynomials
• Orthogonality of some polynomial sets via quasi-monomiality.
• The \(H_q\)-classical orthogonal polynomials
• Chebyshev polynomials of the second kind via raising operator preserving the orthogonality
• The \(I_{(q,\omega)}\) classical orthogonal polynomials
• Jacobi polynomials and some connection formulas in terms of the action of linear differential operators
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Classical symmetric orthogonal polynomials of a discrete variable
• Connection formulas and representations of Laguerre polynomials in terms of the action of linear differential operators
• A characterization of symmetricT_μ-classical monic orthogonal polynomials by a structure relation

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