Turán Inequalities for Three Term Recurrences with Monotonic Coefficients

Published 17 Jan 2011 in math.CA | (1101.3204v1)

Abstract: We establish some new Tur\'an's type inequalities for orthogonal polynomials defined by a three-term recurrence with monotonic coefficients. As a corollary we deduce asymptotic bounds on the extreme zeros of orthogonal polynomials with polynomially growing coefficients of the three-term recurrence.

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Ilia Krasikov

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