Invariance of the generalized oscillator under a linear transformation of the related system of orthogonal polynomials

DOI10.1134/S0040577917020052zbMath1370.33009arXiv1511.03679OpenAlexW2964195925MaRDI QIDQ2014443

Vadim V. Borzov, E. V. Damaskinskiĭ

Publication date: 25 August 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.03679

zbMATH Keywords

orthogonal polynomialgeneralized oscillator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator

Cites Work

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• When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
• A characterization of the four Chebyshev orthogonal families
• On the dimensions of oscillator algebras induced by orthogonal polynomials
• Orthogonal polynomials and generalized oscillator algebras
• The connection between systems of polynomials orthogonal with respect to different distribution functions
• Orthogonality of linear combinations of two orthogonal polynomial sequences

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