Realization of the Annihilation Operator for an Oscillator-Like System by a Differential Operator and Hermite-Chihara Polynomials

DOI10.1080/10652460213751zbMath1023.33005OpenAlexW2072700375MaRDI QIDQ4782680

E. V. Damaskinskiĭ, Vadim V. Borzov

Publication date: 2 December 2002

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460213751

zbMATH Keywords

annihilator operatorHermite-Chihara polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (4)

Realization by a differential operator of the annihilation operator for generalized Chebyshev oscillator ⋮ Generalized coherent states: a novel approach ⋮ Generalized coherent states for oscillators associated with the Charlier \(q\) -polynomials ⋮ Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

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