Asymptotics of basic Bessel functions and \(q\)-Laguerre polynomials
type: Item
instance of: scholarly article
title: Asymptotics of basic Bessel functions and \(q\)-Laguerre polynomials
zbMATH Open document ID: 0829.33012
DOI: 10.1016/0377-0427(92)00128-V
author: Yang Chen
author: Mourad E. H. Ismail
author: K. A. Muttalib
published in: Journal of Computational and Applied Mathematics
publication date: 1996-01-24T00:00:00Z
review text: Two asymptotic expansions for large values of the degree and order respectively are deduced for the \(q\)-Laguerre polynomial and the second Jackson \(q\)-Bessel function. The proof depend to a large extent on the \(q\)-binomial theorem and the elementary manipulation of series. A new proof is given of a theorem by \textit{J. E. Littlewood} [Proc. Lond. Math. Soc. 5, 361-410 (1907)] which proves to be very useful in the discussion of the asymptotic behaviour of \(q\)-functions in general. This study was partly motivated by the quantum study of disordered electronic systems.
Mathematics Subject Classification ID: 33D45
Mathematics Subject Classification ID: 81Q05
zbMATH DE Number: 739557
reviewed by: H. Exton
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 739557