开圆形域中多项式保根的线性算子
Linear operators on polynomials preserving roots in open circular domains
摘要：
本文回答了J.Borcea和P.Branden提出的一个问题，并给出了开圆形域中保根算子类的刻划，即，在莫比乌斯变换下的开放上半平面的图像中。我们的第二个结果是一个描述之间的差异$\Apr(G)$（一类运营商保持根在一个开集$G$）和$\Apr(\bar G)$（一类运营商保持根在$\bar{G}$）。
英文摘要：
In the present paper we answer a question raised by J. Borcea and P. Branden and give a description of the class of operators preserving roots in open circular domains, i.e., in images of the open upper half-plane under the Mobius transformations. Our second result is a description of the difference between $\Apr(G)$ (the class of operators preserving roots in an open set $G$) and $\Apr(\bar G)$ (the class of operators preserving roots in $\bar{G}$).
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。
