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Zero distributions via orthogonality

Abstract : We develop a new method to prove asymptotic zero distribution for different kinds of orthogonal polynomials. The method directly uses the orthogonality relations. We illustrate the procedure in four cases: classical orthogonality, non-Hermitian orthogonality, rational approximation of Markov-type functions and its non-Hermitian variant. In the last three cases, the results are first of this kind.
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https://hal.inria.fr/inria-00070709
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Submitted on : Friday, May 19, 2006 - 9:18:06 PM
Last modification on : Thursday, February 7, 2019 - 4:33:48 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:46:03 PM

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  • HAL Id : inria-00070709, version 1

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Laurent Baratchart, R. Küstner, V. Totik. Zero distributions via orthogonality. RR-5291, INRIA. 2004, pp.34. ⟨inria-00070709⟩

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