Zeros of Sobolev orthogonal polynomials on the unit circle Articles uri icon

publication date

  • August 2012

start page

  • 669

end page

  • 681

issue

  • 4

volume

  • 60

international standard serial number (ISSN)

  • 1017-1398

electronic international standard serial number (EISSN)

  • 1572-9265

abstract

  • In this contribution, we study the sequences of orthogonal polynomials with respect to the Sobolev inner product where mu is a nontrivial probability measure supported on the unit circle, alpha aaEuro parts per thousand a",, and j aaEuro parts per thousand a"center dot. In particular, we analyze the behavior of their zeros when n and lambda tend to infinity, respectively. We also provide some numerical examples to illustrate the behavior of these zeros with respect to alpha.