Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions

DOI10.1016/S0034-4877(19)30039-4zbMath1441.17015OpenAlexW2945892092MaRDI QIDQ2194237

Tabinda Nahid, Subuhi Khan, Mumtaz Riyasat

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(19)30039-4

zbMATH Keywords

generating functionirreducible representations\(q\)-Hermite polynomialsquantum algebra\(q\)-Bessel functions\(q\)-Hermite-Bessel functions

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Hypergeometric functions (33C99)

Related Items (7)

Further results on \(q\)-Lie groups, \(q\)-Lie algebras and \(q\)-homogeneous spaces ⋮ \(q\)-Tricomi functions and quantum algebra representations ⋮ Construction of some hybrid relatives of Laguerre-Appell polynomials associated with Gould-Hopper matrix polynomials ⋮ Two finite sequences of symmetric \(q\)-orthogonal polynomials generated by two \(q\)-Sturm-Liouville problems ⋮ Several characterizations of Bessel functions and their applications ⋮ Generalized 2D extension of the \(q\)-Bessel polynomials ⋮ Construction of certain new families related to \(q\)-Fubini polynomials

Cites Work

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• Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’
• Lie Theory and q-Difference Equations
• The \(q\)-Sheffer sequences of a new type and associated orthogonal polynomials

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