The Liouville-Stekloff method for approximating solutions of homogeneous linear ODE and a general result due to Tricomi which provides estimates for the zeros of functions by means of the knowledge of an asymptotic representation are used in order to improve a classical asymptotic formula for the gr
✦ LIBER ✦
Asymptotics for the Greatest Zeros of Orthogonal Polynomials
✍ Scribed by MáTé, Attila; Nevai, Paul; Totik, Vilmos
- Book ID
- 118201572
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1986
- Tongue
- English
- Weight
- 551 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0036-1410
- DOI
- 10.1137/0517053
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Let [h n (z)] be the sequence of polynomials, satisfying where \* n # [0, 2n], n # N. For a wide class of weights d\(x) and under the assumption lim n Ä \* n Â(2n)=% # [0, 1], two descriptions of the zero asymptotics of [h n (z)] are obtained. Furthermore, their analogues for polynomials orthogonal