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Keldysh Institute of Applied Mathematics
Boundary characteristics of meromorphic functions with summable spherical derivation and annular functions. Consideration
In this paper we formulate classical theorems Plesner and Meyer on the boundary behavior of meromorphic functions and their refinement and strengthening - Gavrilov's and Kanatnikov's theorems. An application of these theorems to classes of meromorphic functions with integrable spherical derivative and annular holomorphic functions is presented. Collingwood's theorem on boundary singularities of the Tsuji function as well as Kanatnikov's theorems are formulated. Kanatnikov's theorems strengthen and...
Download 2021 Žarko Pavićević , Valerian Ivanovich Gavrilov
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