An analogue of Montel's theorem for some classes of rational functions |
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| Authors: | R K Kovacheva J Lawrynowicz |
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| Institution: | (1) Institute of Mathematics, Bulgarian Academy of Sciences, Acad, Bonchev Str. 8, 1113 Sofia, Bulgaria;(2) Institute of Mathematics, Polish Academy of Sciences, Lodz Branch, Narutowicza 56, PL-90-136 Lodz, Poland |
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| Abstract: | For sequences of rational functions, analytic in some domain, a theorem of Montel's type is proved. As an application, sequences of rational functions of the best L
p
-approximation with an unbounded number of finite poles are considered. |
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| Keywords: | normal families best L
p
-approximation |
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