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The variation of zeros of certain orthogonal polynomials

โœ Scribed by Mourad E.H Ismail


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
393 KB
Volume
8
Category
Article
ISSN
0196-8858

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๐Ÿ“œ SIMILAR VOLUMES


Zeros of Certain Sums of Two Polynomials
โœ Seon-Hong Kim ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 103 KB

In this paper, we investigate the zero distribution of various sums of polynomials of the form A + B or A + tB 0 < t < โˆž or -โˆž < t < โˆž , 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.

Limits of zeros of orthogonal polynomial
โœ Barry Simon; Vilmos Totik ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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