Characterization of polynomials via a raising operator

DOI10.15393/j3.art.2024.14050zbMATH Open1543.33008MaRDI QIDQ6540332

Jihad Souissi

Publication date: 15 May 2024

Published in: Problemy Analiza. Issues of Analysis (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialssecond-order differential equationclassical polynomialsraising operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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) Other functions coming from differential, difference and integral equations (33E30)

Cites Work

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• Operational rules and a generalized Hermite polynomials
• Orthogonality of some polynomial sets via quasi-monomiality.
• Chebyshev polynomials of the second kind via raising operator preserving the orthogonality
• Über Sturm-Liouvillesche Polynomsysteme.
• Über die Jacobischen Polynome und zwei verwandte Polynomklassen
• Some classical polynomials seen from another side
• HAHN'S PROBLEM WITH RESPECT TO SOME PERTURBATIONS OF THE RAISING OPERATOR \(X-c\)

Related Items (1)

A new characterization of \(q\)-Chebyshev polynomials of the second kind

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