On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem

Details On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem On the Berg--Chen--Ismail theorem and the Nevanlinna-Pick problem

2008-03-28

arxiv.org/abs/0803.4064v1

Mathematics

Classical Analysis and ODEs

5 pages, LaTeX file

Scientific paper

In 2002 C. Berg, Y. Chen, and M. Ismail found a nice relation between the
determinancy of the Hamburger moment problem and asymptotic behavior of the
smallest eigenvalues of the corresponding Hankel matrices. We investigate
whether an analog of this statement holds for the Nevanlinna--Pick
interpolation problem.

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