Volume 4, pp. 106-124, 1996.
Ray sequences of Laurent-type rational functions
I. E. Pritsker
Abstract
This paper is devoted to the study of asymptotic zero distribution of
Laurent-type approximants under certain extremality conditions analogous to
the condition of Grothmann, which can be traced back to Walsh's theory
of exact harmonic majorants. We also prove results on the
convergence of ray sequences of Laurent-type approximants to a function analytic on the
closure of a finitely connected Jordan domain and on the zero distribution
of optimal ray sequences. Some applications to the convergence and
zero distribution of the best
Full Text (PDF) [233 KB], BibTeX
Key words
Laurent-type rational functions, zero distributions, convergence, optimal ray sequences, best
AMS subject classifications
30E10, 30C15, 41A20, 31A15.