๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Strong asymptotics for Krawtchouk polynomials

โœ 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

No coin nor oath required. For personal study only.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Strong asymptotics inside the unit disk
โœ E. Berriochoa; A. Cachafeiro ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 412 KB

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

Asymptotic relations between the Hahn-ty
โœ Chelo Ferreira; Josรฉ L. Lรณpez; Ester Pรฉrez Sinusรญa ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

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