Characterization of $({\mathcal R},p,q)$-deformed Rogers–Szegö polynomials: associated quantum algebras, deformed Hermite polynomials and relevant properties

DOI10.1088/1751-8113/45/22/225204zbMath1246.81080arXiv1204.4705OpenAlexW2028619302MaRDI QIDQ2895723

Mahouton Norbert Hounkonnou, Jospeh Désiré Bukweli Kyemba

Publication date: 4 July 2012

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

Full work available at URL: https://arxiv.org/abs/1204.4705

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (5)

Post-quantum trapezoid type inequalities ⋮ Quantum polynomials from deformed quantum algebras: Probability distributions, generating functions and difference equations ⋮ Hermite polynomials and Fibonacci oscillators ⋮ ( ℛ , p , q ) $$( \mathcal {R}, p,q)$$ -Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras ⋮ New q -Hermite polynomials: characterization, operators algebra and associated coherent states

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