SCATTERING-THEORY, ORTHOGONAL POLYNOMIALS, AND Q-SERIES

Authors
GERONIMO JS
Citation
Js. Geronimo, SCATTERING-THEORY, ORTHOGONAL POLYNOMIALS, AND Q-SERIES, SIAM journal on mathematical analysis, 25(2), 1994, pp. 392-419
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
25
Issue
2
Year of publication
1994
Pages
392 - 419
Database
ISI
SICI code
0036-1410(1994)25:2<392:SOPAQ>2.0.ZU;2-4
Abstract
The techniques of scattering theory and Banach algebras are used to st udy orthogonal polynomials. The coefficients in the three-term recurre nce formula are assumed to converge geometrically to their asymptotic limits. The results are used to investigate certain properties of the Askey-Wilson polynomials.