Zeros of Sobolev orthogonal polynomials on the unit circle

K. Castillo*, L. E. Garza, F. Marcellán

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In this contribution, we study the sequences of orthogonal polynomials with respect to the Sobolev inner product, where μ is a nontrivial probability measure supported on the unit circle, α ∈ ℂ, λ ∈ ℝ+\{0}, and j ∈ ℕ. In particular, we analyze the behavior of their zeros when n and λ tend to infinity, respectively. We also provide some numerical examples to illustrate the behavior of these zeros with respect to α.

Original languageEnglish
Pages (from-to)669-681
Number of pages13
JournalNumerical Algorithms
Issue number4
Publication statusPublished - Aug 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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