本文研究了组合学中实零点多项式的若干问题。
This thesis is devoted to the study of several problems on real-rooted polynomials in combinatorics.
一些问题虽然不是直接关于实零点的问题，但可以转化为实零点的问题。
Although some problems are not directly about polynomials with only real zeros, it can be inverted into polynomials with only real zeros.
第二章刻画了一类满足三项递归关系的实零点多项式序列的零点位置和零点重数的关系。
In the second chapter, we characterize the relations between locations and multiplicities of zeros of a sequence of real-rooted polynomials defined by a three-term recurrence relation.
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