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Nevanlinna characteristics of sequences of meromorphic functions and Julia’s exceptional functions
Journal: Matematychni Studii (Vol.36, No. 1)Publication Date: 2011-07-01
Authors : Khrystiyanyn A. Ya.; Khylynska O. B.; Kondratyuk A. A.;
Page : 65-72
Keywords : Nevanlinna characteristics; Julia's exceptional functions;
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Abstract
Uniformly convergent sequences of meromorphic functions in the Caratheodory-Landau sense on annuli are considered. We prove that the sequences of their Nevanlinna type characteristics converge uniformly on intervals. The result is applied to the study of the Nevanlinna characteristics of Julia's exceptional functions.
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