STRONG UNBOUNDEDNESS OF UNBOUNDED ANALYTIC-FUNCTIONS

被引：1
|
作者：
GORDON, AY
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 122卷 / 02期
关键词：
D O I：
10.2307/2161044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that if f is an unbounded analytic function in the open unit disc D, then there must exist a sequence (z(n)) in D such that for every j = 0, 1, 2,..., f((j))(z(n)) --> infinity as n --> infinity. This answers affirmatively a question asked by J. Langley and L. Rubel in 1984.
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页码：525 / 529
页数：5
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