Generalized discrete \(q\)-Hermite I polynomials and \(q\)-deformed oscillator

DOI10.1016/S0252-9602(18)30822-1zbMath1438.33029OpenAlexW2963461257MaRDI QIDQ2313151

Kamel Mezlini, Néji Bettaibi

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30822-1

zbMATH Keywords

coherent statesquantum algebrabasic orthogonal polynomials

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Coherent states (81R30) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

Rate of convergence of Stancu type modified \(q\)-Gamma operators for functions with derivatives of bounded variation ⋮ Some properties of \(q\)-Bernstein-Durrmeyer operators ⋮ On approximation to discrete \(q\)-derivatives of functions via \(q\)-Bernstein-Schurer operators

Cites Work

• Variations around Jackson's quantum operator
• A \(q^ 2\)-analogue operator for \(q^ 2\)-analogue Fourier analysis
• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• On suq(1,1)-models of quantum oscillator
• q-analogues of the parabose and parafermi oscillators and representations of quantum algebras
• On the q oscillator and the quantum algebra su_q(1,1)
• A simple difference realization of the Heisenberg q-algebra
• $q$-Analogue of the Dunkl transform on the real line
• Quantum calculus
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