Relation between polynomials orthogonal on the unit circle with respect to different weights
โ Scribed by Mourad E.H Ismail; Richard W Ruedemann
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 869 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Starting from the Delsarte Genin (DG) mapping of the symmetric orthogonal polynomials on an interval (OPI) we construct a one-parameter family of polynomials orthogonal on the unit circle (OPC). The value of the parameter defines the arc on the circle where the weight function vanishes. Some explici
For a positive measure \(\mu\) on the unit circle \((\Gamma)\) in the complex plane, \(m\) points \(z_{j}\) off \(\Gamma\) and \(m\) positive numbers \(A_{j}, j=1,2, \ldots, m\), we investigate the asymptotic behavior of orthonormal polynomials \(\Phi_{n}(z)\) corresponding to \(d_{\mu} / 2 \pi+\) \
In this paper we study orthogonal polynomials with asymptotically periodic reflection coefficients. It's known that the support of the orthogonality measure of such polynomials consists of several arcs. We are mainly interested in the asymptotic behaviour on the support and derive weak convergence r