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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 [1], which can be traced back to Walsh's theory of exact harmonic majorants [8, 9]. 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... (Update)
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BibTeX entry: (Update)
@misc{ pritsker-ray,
author = "I.E. Pritsker",
title = "Ray Sequences Of Laurent-Type Rational Functions",
url = "citeseer.ist.psu.edu/pritsker96ray.html" }
Citations (may not include all citations):66 Interpolation and Approximation by Rational Functions in the.. (context) - Walsh - 1969
32 Potential Theory in Modern Function Theory (context) - Tsuji - 1959
14 Analytic Functions (context) - Nevanlinna - 1970
2 Asymptotic zero distribution of Laurent-type rational functi.. - Papamichael, Pritsker et al.
2 Convergence and Zero Distribution of Laurent-Type Rational F.. (context) - Pritsker - 1995
2 Logarithmic Potentials and External Fields (context) - Saff, Totik
2 overconvergence and zeros of polynomials (context) - Grothmann, gaps - 1989
2 and zeros of sequences of analytic functions (context) - Walsh, degree - 1946
2 The analogue for maximally convergent polynomials of Jentzsc.. (context) - Walsh - 1959
2 On representation of analytical functions by power series (context) - Ostrowski - 1926
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