非正型零点的整体和局部性态
Global and local behavior of zeros of nonpositive type
摘要：
具有一个负平方的广义Nevanlinna函数$Q(z)$在闭的扩张上半平面中恰好有一个非正型广义零点.由$Q_τ(z)=(Q(z)-τ)/(1+τQ(z))$定义的分式线性变换，$τ\in \mathbf{Real} \cup \{\infty\}$，是一个具有一个负平方的广义Nevanlinna函数。研究了它的非正型广义零点$α(τ)$作为$τ$的函数.特别是，它表明，它是连续的，其行为的功能延伸通过真正的线的点进行了调查。
英文摘要：
A generalized Nevanlinna function $Q(z)$ with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation defined by $Q_τ(z)=(Q(z)-τ)/(1+τQ(z))$, $τ\in \mathbf{Real} \cup \{\infty\}$, is a generalized Nevanlinna function with one negative square. Its generalized zero of nonpositive type $α(τ)$ as a function of $τ$ is being studied. In particular, it is shown that it is continuous and its behavior in the points where the function extends through the real line is investigated.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
