Nevanlinna characteristics of sequences of meromorphic functions and Julia’s exceptional functions

Author A. Ya. Khrystiyanyn, O. B. Khylynska, A. A. Kondratyuk
khrystiyanyn@ukr.net, olya_khyl@ukr.net, kond@franko.lviv.ua
Ivan Franko National University of Lviv

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.
Keywords Nevanlinna characteristics; Julia's exceptional functions
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Pages 65-72
Volume 36
Issue 1
Year 2011
Journal Matematychni Studii
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