\(q\)-Tricomi functions and quantum algebra representations

DOI10.1515/gmj-2020-2079zbMath1494.33013OpenAlexW3093937302MaRDI QIDQ2232113

Mumtaz Riyasat, Subuhi Khan, Tabinda Nahid

Publication date: 4 October 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2079

zbMATH Keywords

generating functionquantum algebra\(q\)-Bessel functions\(q\)-Tricomi functions2D \(q\)-Tricomi functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (1)

Two-variable \(q\)-Laguerre polynomials from the context of quasi-monomiality

Cites Work

• Representation of Lie algebra \(\tau_{3}\) and 2-variable 2-parameter Bessel functions
• Askey-Wilson polynomials and the quantum group \(SU_ q(2)\)
• Generalized \(q\)-Bessel function and its properties
• Quantum algebra \(\varepsilon_q(2)\) and 2D \(q\)-Bessel functions
• Generalized Bessel functions and Lie algebra representation
• Lie theory and special functions
• On two-dimensional Bessel functions
• GENERATING RELATIONS INVOLVING 3-VARIABLE 2-PARAMETER TRICOMI FUNCTIONS USING LIE-ALGEBRAIC TECHNIQUES
• Generating functions of multivariable generalized Bessel functions and Jacobi-elliptic functions
• Models ofQ-Algebra Representations: The Group of Plane Motions
• Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’
• Infinite-variable Bessel functions in two-dimensional Wannier-Stark systems
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