Authors
Citation
L. Golinskii, UNIFORM ASYMPTOTICS FOR 2ND-KIND ULTRASPHERICAL POLYNOMIALS ON THE UNIT-CIRCLE, Constructive approximation, 14(4), 1998, pp. 599-608
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
01764276
Volume
14
Issue
4
Year of publication
1998
Pages
599 - 608
Database
ISI
SICI code
0176-4276(1998)14:4<599:UAF2UP>2.0.ZU;2-U
Abstract
The object under consideration is the system of orthonormal polynomial
s of the second kind which corresponds to ultraspherical weight functi
on on the unit circle. We obtain a uniform asymptotic representation f
or such polynomials in the closed unit disk as well as two-sided bound
s on the unit circle.