The variation of zeros of certain orthogonal polynomials
โ Scribed by Mourad E.H Ismail
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 393 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0196-8858
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < โ or -โ < t < โ , especially for A and B monic polynomials of the same degree. More precisely, we study generalizations and analogues of x -1 n + x + 1 n and their factorizations.
## 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