Univalent Functions with Half-Integral Coefficients
Univalent Functions with Half-Integral Coefficients
复制标题
DOI：
10.1007/s40315-013-0009-z
复制
发表时间：
2012-08
影响因子：
2.1
通讯作者：
N. Hiranuma;T. Sugawa
中科院分区：
文献类型：
--
作者：
N. Hiranuma;T. Sugawa
B。弗里德曼发现在他1946年的论文中，一套解析单叶函数的单位磁盘在复平面与积分泰勒系数由九个职能。本文证明了用“半积分”代替“积分”所得到的相似集除这9个函数外还包含另外12个函数。我们还观察了12个函数的几何性质。
B. Friedman discovered in his 1946 paper that the set of analytic univalent functions on the unit disk in the complex plane with integral Taylor coefficients consists of nine functions. In the present paper, we prove that the similar set obtained by replacing “integral” by “half-integral” consists of another 12 functions in addition to the nine. We also observe geometric properties of the 12 functions.