Zero distributions via orthogonality
Résumé
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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