Radii of univalence, starlikeness, and convexity
Radii of univalence, starlikeness, and convexity
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单价半径、星形半径和凸性半径
DOI：
10.1017/s0004972700005499
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发表时间：
1982
影响因子：
0.7
通讯作者：
S. Yamashita
中科院分区：
文献类型：
--
作者：
S. Yamashita
设一个函数在圆盘上是正则的|z| < 1。f族的单价半径为0.164...，|一个|≤ n（n ≥ 2）实际上是类星体的半径。f族的单叶半径1 - [k/（l+K）]½，|一个|≤ k（n ≥ 2），其中K > 0是一个常数，实际上是星形的半径。这两个家族的凸性半径估计如下。
Let a function be regular in the disk |z| < 1. The radius of univalence 0.164 … of the family of f with |an| ≤ n (n ≥ 2) is, actually, the radius of star-likeness. The radius of univalence 1 - [k/(l+K)]½ of the family of f with |an| ≤ k (n ≥ 2), where K > 0 is a constant, is, actually, the radius of starlikeness. The radii of convexity of the two families are estimated from below.