Orthogonal polynomials with respect to varying weights
โ Scribed by Vilmos Totik
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 652 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
In this paper we review a connection of orthogonal polynomials with respect to varying weights to weighted approximation, multipoint Pad6 approximation and to some questions of theoretical physics. (~) 1998 Elsevier Science B.V. All rights reserved.
๐ SIMILAR VOLUMES
We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n โ โ. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the
We consider asymptotics of orthogonal polynomials with respect to weights w(x)dx = e -Q(x) dx on the real line, where Q(x) = โ 2m k=0 q k x k , q 2m > 0, denotes a polynomial of even order with positive leading coefficient. The orthogonal polynomial problem is formulated as a Riemann-Hilbert problem