Let $L_0$ and $L_1$ be two distinct rays emanating from the origin and let ${\mathcal F}$ be the family of all functions holomorphic in the unit disk ${\mathbb D}$ for which all zeros lie on $L_0$ while all $1$-points lie on $L_1$. It is shown that ${\mathcal F}$ is normal in ${\mathbb D}\backslash\{0\}$. The case where $L_0$ is the positive real axis and $L_1$ is the negative real axis is studied in more detail.

中文翻译：

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径向分布的值和正常族。二

令 $L_0$ 和 $L_1$ 是从原点发出的两条不同的射线，令 ${\mathcal F}$ 是单位圆盘 ${\mathbb D}$ 中所有全纯函数的族，其中所有零都位于 $ L_0$ 而所有 $1$-点都在 $L_1$ 上。表明${\mathcal F}$在${\mathbb D}\backslash\{0\}$中是正常的。更详细地研究了 $L_0$ 为正实轴而 $L_1$ 为负实轴的情况。