Strong asymptotics for Laguerre polynomials with varying weights
β Scribed by Christof Bosbach; Wolfgang Gawronski
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 590 KB
- Volume
- 99
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
We consider asymptotics of orthogonal polynomials with respect to weights w(x)dx = e -Q(x) dx on the real line, where Q(x) = β 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
We determine the strong asymptotics for the class of Krawtchouk polynomials on the real line. We show how our strong asymptotics describes the limiting distribution of the zeros of the Krawtchouk polynomials. (~) 1998 Elsevier Science B.V. All rights reserved.