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Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials

✍ Scribed by Driver, K.; Jordaan, K.; Damanik, David; Finkelshtein, Andrei Martinez; Iosevich, Alex; Vougalter, Vitali; Wang, Yang; Wong, Man Wah

Book ID
118744499
Publisher
EDP Sciences
Year
2013
Tongue
English
Weight
202 KB
Volume
8
Category
Article
ISSN
0973-5348

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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