Two criteria for $P_h$-sequences
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 33-35
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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.
@article{VMUMM_1982_3_a8,
author = {A.N. Kanatnikov},
title = {Two criteria for $P_h$-sequences},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {33--35},
publisher = {mathdoc},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a8/}
}
A.N. Kanatnikov. Two criteria for $P_h$-sequences. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 33-35. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a8/