𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On estimations of the greatest zeroes of orthogonal polynomials

✍ Scribed by G. Freud

Publisher
Akadmiai Kiad
Year
1974
Tongue
English
Weight
338 KB
Volume
25
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Zeros of orthogonal polynomials on the r
Zeros of orthogonal polynomials on the real line
✍ Sergey A Denisov; Barry Simon 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 144 KB

Let p n ðxÞ be the orthonormal polynomials associated to a measure dm of compact support in R: If EesuppðdmÞ; we show there is a d40 so that for all n; either p n or p nþ1 has no zeros in ðE À d; E þ dÞ: If E is an isolated point of suppðmÞ; we show there is a d so that for all n; either p n or p nþ

Limits of zeros of orthogonal polynomial
Limits of zeros of orthogonal polynomials on the circle
✍ Barry Simon; Vilmos Totik 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 127 KB

## Abstract We prove that there is a universal measure on the unit circle such that any probability measure on the unit disk is the limit distribution of some subsequence of the corresponding orthogonal polynomials. This follows from an extension of a result of Alfaro and Vigil (which answered a qu