Overconvergent series of rational functions and universal Laurent series |
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| Authors: | J Müller V Vlachou A Yavrian |
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| Institution: | (1) University of Trier, Fachbereich IV, Mathematik, D54286 Trier, Germany;(2) Department of Mathematics, University of Patras, 26500 Patras, Greece;(3) Institute of Mathematics, Armenian National Academy of Sciences, Marshal Bagramian Ave., 375 019 Yerevan, Armenia |
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| Abstract: | In this paper, series of rational functions with fixed poles, which have restricted growth near the poles are considered.
If they converge with a geometric rate on a continuum, a phenomenon of overconvergence takes place, in the sense that the
convergence extends to a certain maximal domain. From this result, some properties of universal Laurent series are derived. |
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