This article is cited in 8 papers

Some classes of meromorphic functions characterized by their spherical derivative

V. I. Gavrilov


Abstract: A certain subclass $W_1^0$ is singled out from the class of functions $W_1$ that are exceptional in the sense of Julia. A necessary and sufficient condition is proved for a function to belong to the subclass $W_1^0$, as well as two theorems about the distribution of values of the functions in the subclass $W_1^0$.

UDC: 517.5

MSC: 30D30, 30D35, 30D45, 30D60

Received: 29.11.1965

 English version: Mathematics of the USSR-Izvestiya, 1968, 2:4, 687–694

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