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Date: 24-10-2018
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Date: 1-11-2018
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Date: 11-12-2018
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Let be a family of meromorphic functions on the unit disk
which are not normal at 0. Then there exist sequences
in
,
,
, and a nonconstant function
meromorphic in the plane such that
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locally and uniformly (in the spherical sense) in the complex plane (Schwick 2000), where
and
.
REFERENCES:
Schwick, W. "A Note on Zalcman's Lemma." New Zealand J. Math. 29, 71-72, 2000.
Zalcman, L. "A Heuristic Principle in Complex Function Theory." Amer. Math. Monthly 82, 813-817, 1975.
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