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Extremal measures for a system of orthogonal polynomials

✍ Scribed by Theodore S. Chihara; Mourad E. H. Ismail

Publisher
Springer
Year
1993
Tongue
English
Weight
340 KB
Volume
9
Category
Article
ISSN
0176-4276

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πŸ“œ SIMILAR VOLUMES

The extremal zeros of a perturbed orthog
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The purpose of this paper is to study how the exlremal zeros of a family of orthogonal polynomials evolve when we perturb the coefficient of the recurrence relation defining the family. To this end we shall compare the extremal zeros with the corresponding zeros in the perturbed ease.

Representations for the extreme zeros of
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We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the de

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Asymptotics of Sobolev Orthogonal Polynomials for Coherent Pairs of Measures
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Strong asymptotics for the sequence of monic polynomials Q n (z), orthogonal with respect to the inner product with z outside of the support of the measure + 2 , is established under the additional assumption that + 1 and + 2 form a so-called coherent pair with compact support. Moreover, the asympt