Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials
✍ Scribed by Andrei Martínez-Finkelshtein; Juan J. Moreno-Balcázar; Héctor Pijeira-Cabrera
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 349 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0377-0427
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📜 SIMILAR VOLUMES
In the present paper, we give sufficient conditions in order to establish the extension of the strong asymptotics up to the boundary and inside the unit disk for Sobolev orthogonal polynomials. We consider the following Sobolev inner product on the unit circle: with tt0 a finite positive Borel mea
In this report we will survey some of the main ideas and tools which appeared recently in the study of the analytic properties of polynomials orthogonal with respect to inner products involving derivatives. Although some results on weak asymptotics are mentioned, the strong outer asymptotics constit