Turán Inequalities for Three Term Recurrences with Monotonic Coefficients

Details Turán Inequalities for Three Term Recurrences with Monotonic Coefficients Turán Inequalities for Three Term Recurrences with Monotonic Coefficients

2011-01-17

arxiv.org/abs/1101.3204v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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