Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay

Journal of Approximation Theory

Volumn 135, Issue 1, 2005, Pages 125-139

  Simon, Barry ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

OPUC; Zeros

Indexed keywords

EID: 20944432258     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2005.04.003     Document Type: Article

References (9)

1. D. Barrios Rolanía G. López Lagomasino E.B. Saff Asymptotics of orthogonal polynomials inside the unit circle and Szego-Padé approximants J. Comput. Appl. Math. 133 2001 171-181
2. Ya.L. Geronimus Orthogonal Polynomials: Estimates, Asymptotic Formulas, and Series of Polynomials Orthogonal on the Unit Circle and on an Interval 1961 Consultants Bureau New York
3. H.N. Mhaskar E.B. Saff On the distribution of zeros of polynomials orthogonal on the unit circle J. Approx. Theory 63 1990 30-38
4. P. Nevai V. Totik Orthogonal polynomials and their zeros Acta Sci. Math. (Szeged) 53 1989 99-104
5. B. Simon, Orthogonal Polynomials on the Unit Circle, Part 1: Classical Theory, AMS Colloquium Series, American Mathematical Society, Providence, RI, 2005, in press.
6. B. Simon, Orthogonal Polynomials on the Unit Circle, Part 2: Spectral Theory, AMS Colloquium Series, American Mathematical Society, Providence, RI, 2005, in press.
7. B. Simon, Fine structure of the zeros of orthogonal polynomials, I. A tale of two pictures, Proc. Constructive Functions Tech-04, to appear.
8. B. Simon, Fine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients, Comm. Pure. Appl. Math., to appear.
9. D. Barrios Rolanía G. López Lagomasino E.B. Saff Asymptotics of orthogonal polynomials inside the unit circle and Szego-Padé approximants J. Comput. Appl. Math. 133 2001 171-181