Angular Value Distribution of Power Series with Gaps
Angular Value Distribution of Power Series with Gaps
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DOI：
10.1112/plms/s3-24.4.590
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发表时间：
1972-05
影响因子：
1.8
通讯作者：
W. Hayman
中科院分区：
文献类型：
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作者：
W. Hayman
(1.2)如果f（z）有无穷阶，则每条线都是Julia线.因此，f（2）在每个角度上无限频繁地假设每个值，至多有一个例外。这个结果最近由安德森和克吕尼（[1]）推广到有限正级函数。零秩序的案件仍然悬而未决。Biernacki（[3]）证明了，如果指数nk，其中an # 0满足差距条件
(1.2) £^-»0 as n^oo, n and if f(z) has infinite order, then every line is a line of Julia. Thus/(2) assumes in every angle every value with at most one exception infinitely often. This result has recently been extended by Anderson and Clunie ([1]) to functions of finite positive order. The case of zero order has remained open. Biernacki ([3]) has shown that if the indices nk, for which an # 0 satisfy the gap condition