Toeplitz matrices and classical and \(q\)-Bessel functions
type: Item
instance of: scholarly article
title: Toeplitz matrices and classical and \(q\)-Bessel functions
zbMATH Open document ID: 1011.33012
DOI: 10.1016/S0022-247X(02)00290-1
author: Richard L. Rubin
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: The author makes use of some biinfinite Toeplitz matrix analogues of the classical and \(q\)-binomial identities in a commutative Banach algebra setting to characterize the classical and \(q\)-Bessel functions of integer order and to establish several properties of these functions.
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 39A70
zbMATH DE Number: 1866645
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
cites work: Q4846800
cites work: Operatormethoden für q-identitäten
cites work: Q4360873
cites work: Q3660083
cites work: Addition formulas for q-Bessel functions
cites work: Quantum algebras and \(q\)-special functions
cites work: Q4040884
cites work: Models ofQ-Algebra Representations: The Group of Plane Motions
cites work: The quantum group of plane motions and the Hahn-Exton \(q\)-Bessel function
cites work: On q-Analogues of the Fourier and Hankel Transforms
cites work: Lie theory and special functions
cites work: The umbral calculus
cites work: An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
cites work: Q3477518
cites work: Q5559954
cites work: Q5561441
cites work: Q5562752
cites work: Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
description: scientific article; zbMATH DE number 1866645