Addition formulas for q-Bessel functions

DOI10.1063/1.529568zbMath0777.33011OpenAlexW2072097854MaRDI QIDQ4031007

Luc Vinet, Roberto Floreanini

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529568

zbMATH Keywords

addition theorem\(q\)-Bessel function

Mathematics Subject Classification ID

Related Items (12)

A q-deformed e(4) and continuous q-Jacobi polynomials ⋮ On the quantum group and quantum algebra approach to \(q\)-special functions ⋮ The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function ⋮ Quantum algebra approach to \(q\)-Gegenbauer polynomials ⋮ Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’ ⋮ \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory ⋮ Yet another basic analogue of Graf's addition formula ⋮ Quantum symmetries of q-difference equations ⋮ A model for the continuous q-ultraspherical polynomials ⋮ Unnamed Item ⋮ ( q , μ ) and (p,q,ζ)-exponential functions: Rogers–Szegő polynomials and Fourier–Gauss transform ⋮ Toeplitz matrices and classical and \(q\)-Bessel functions

Cites Work

• An integral representation and some transformation properties of q-Bessel functions
• On the variation with respect to a parameter of zeros of Bessel and q- Bessel functions
• The zeros of basic Bessel functions, the functions J(nu+ax)(x), and associated orthogonal polynomials
• \(q\)-orthogonal polynomials and the oscillator quantum group
• Canonical Equations and Symmetry Techniques forq-Series
• An Addition Theorem and Some Product Formulas for q-Bessel Functions
• The Basic Bessel Functions and Polynomials
• The metaplectic representation of suq(1,1) and the q-Gegenbauer polynomials

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