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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Kovacheva, R.K., Lawrynowicz, J. An analogue of Montel's theorem for some classes of rational functions. Czechoslovak Mathematical Journal 52, 483–498 (2002). https://doi.org/10.1023/A:1021763310186
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DOI: https://doi.org/10.1023/A:1021763310186