论文标题
类型$（1,2）$的多项式序列的零限制的几何形状
Geometry of limits of zeros of polynomial sequences of type $(1,2)$
论文作者
论文摘要
我们研究了一些单变量多项式的根分布，这些单变量多项式满足了二的阶次，并具有线性和二次多项式系数。我们表明，多项式的零零的一组非分离限制是圆弧，圆，间隔或其外部的闭合，在实际线下，上述情况的最多两种不同形状的结合期望弧和圆圈的结合，以及某些变性形式。
We study the root distribution of some univariate polynomials satisfying a recurrence of order two with linear and quadratic polynomial coefficients. We show that the set of non-isolated limits of zeros of the polynomials is the closure of an arc, a circle, an interval or its exterior under the real line, the union of at most two different shapes of the above cases expect the union of an arc and a circle, and some degenerate forms.
