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Reports Year : 2004

Zero distributions via orthogonality

R. Küstner
  • Function : Author
V. Totik
  • Function : Author


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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Dates and versions

inria-00070709 , version 1 (19-05-2006)


  • HAL Id : inria-00070709 , version 1


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