题 目：Pathsof real roots for odd-degree polynomials with parameters

报告人：徐君祥教授  东南大学 

摘 要：In this report  we consider a (2d+1)-degree real polynomial$$f(\xi,x)=x^{2d+1}+\sum_{j=1}^{2d+1}a_j(\xi)x^{2d+1-j},$$where the coefficients $\{a_j, \1\le j\le 2d+1\} $ depend continuously on  parameter $\xi\in [a, b]$.we show that for the above odd-degree polynomials with parameters there exists a connected path of real roots, which join with the two odd-multiple endpointson the lines$\xi=a$and $\xi=b$, respectively.

时 间：2019年4月13日（周六）下午2:00-4:00

地 点：西大楼108

邀请人：钟承奎老师