Strong asymptotics for Krawtchouk polynomials
โ Scribed by Mourad E.H Ismail; Plamen Simeonov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 1014 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
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.
๐ 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
It has been shown in Ferreira et al. [Asymptotic relations in the Askey scheme for hypergeometric orthogonal polynomials, Adv. in Appl. Math. 31(1) (2003) 61-85], Lรณpez and Temme [Approximations of orthogonal polynomials in terms of Hermite polynomials, Methods Appl. Anal. 6 (1999) 131-146; The Aske