Orthogonal polynomials on the unit circle associated with the Laguerre polynomials

Authors
Citation
Lc. Shen, Orthogonal polynomials on the unit circle associated with the Laguerre polynomials, P AM MATH S, 129(3), 2000, pp. 873-879
Citations number
7
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
3
Year of publication
2000
Pages
873 - 879
Database
ISI
SICI code
0002-9939(2000)129:3<873:OPOTUC>2.0.ZU;2-#
Abstract
Using the well-known fact that the Fourier transform is unitary, we obtain a class of orthogonal polynomials on the unit circle from the Fourier trans form of the Laguerre polynomials (with suitable weights attached). Some rel ated extremal problems which arise naturally in this setting are investigat ed.