Zalcman,s Lemma
المؤلف:
Zalcman, L.
المصدر:
"A Heuristic Principle in Complex Function Theory." Amer. Math. Monthly 82
الجزء والصفحة:
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16-12-2018
1490
Zalcman's Lemma
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
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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