Generalized \(q\)-Bessel function and its properties

DOI10.1186/1687-1847-2013-121zbMath1380.33011OpenAlexW2171779193WikidataQ59292641 ScholiaQ59292641MaRDI QIDQ1693514

Mansour Mahmoud

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-121

zbMATH Keywords

irreducible representationgenerating function\(q\)-difference equationquantum algebra\(q\)-Bessel functions

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (7)

Bessel equation and Bessel function on $\mathbb{T}_{(q,h)}$ ⋮ The Bessel difference equation ⋮ Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions ⋮ Product formula for the generalized q-Bessel function ⋮ \(q\)-Tricomi functions and quantum algebra representations ⋮ Application of q-Bessel Functions in the Solution of Generalized Fractional Kinetic Equations ⋮ Construction of certain new families related to \(q\)-Fubini polynomials

Cites Work

• Lie theory and special functions
• Models ofQ-Algebra Representations: The Group of Plane Motions
• On a one-parameter family ofq-exponential functions
• More on the q-oscillator algebra and q-orthogonal polynomials
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