✦ LIBER ✦

Asymptotic properties of Sobolev orthogonal polynomials

✍ Scribed by Andrei Martínez-Finkelshtein

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 983 KB
Volume: 99
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00179-4

No coin nor oath required. For personal study only.

✦ Synopsis

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 constitutes the core of the paper. Both the discrete and the continuous cases are considered, and several open problems and conjectures are posed. (~) 1998 Elsevier Science B.V. All rights reserved.

'Expanded version of a talk presented at VIII Simposium sobre Polinomios Ortogonales y Aplicaciones (Sevilla, September 1997).

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