Yet another basic analogue of Graf's addition formula

DOI10.1016/0377-0427(95)00257-XzbMath0864.33012arXivmath/9409231OpenAlexW2126629870MaRDI QIDQ1919451

Publication date: 23 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9409231

zbMATH Keywords

Al-Salam-Chihara polynomials \(q\)-Charlier polynomials

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Asymptotic analysis of the Askey-scheme. I: From Krawtchouk to Charlier

Cites Work

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The q-analogue of the Laguerre polynomials
Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
Hansen-Lommel orthogonality relations for Jackson's \(q\)-Bessel functions
The \(q\)-harmonic oscillator and the Al-Salam and Carlitz polynomials
The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function
A \(q\)-analogue of Graf's addition formula for the Hahn-Exton \(q\)-Bessel function
The quantum group of plane motions and basic Bessel functions
Recurrence relations, continued fractions, and orthogonal polynomials
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
An Addition Theorem and Some Product Formulas for q-Bessel Functions
Asymptotic Behaviour for Wall Polynomials and the Addition Formula for Little q-Legendre Polynomials
On q-Analogues of the Fourier and Hankel Transforms
An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
Addition formulas for q-Bessel functions
Models of q-algebra representations: Tensor products of special unitary and oscillator algebras
Convolutions of Orthonormal Polynomials
Models of q-algebra representations: Matrix elements of the q-oscillator algebra
The q-harmonic oscillator and an analogue of the Charlier polynomials
Models ofQ-Algebra Representations: The Group of Plane Motions
Models of q-algebra representations: q-integral transforms and ‘‘addition theorems’’
A basic analogue of graf's addition formula and related formulas
Addition Formula For Big q-Legendre Polynomials From The Quantum Su(2) Group

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