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Mathematics

Two criteria for $P_h$-sequences

A.N. Kanatnikov


Abstract: The notion of $P_h$-sequence was introduced by V. I. Gavrilov as a natural generalization of $P$-sequences (Math. Rev., v. 36, 385). We prove two criteria for a sequence of points in $D\colon|z|<1$ to be a $P_h$-sequence of a given meromorphic function defined in $D$. The first of them generalizes a known criterion for $P$-sequences formulated in terms of spherical derivative.

UDC: 517.54

Received: 31.10.1980
Revised: 08.06.1981

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