主题: On the number of zeros of harmonic polynomials arranged in alternating patterns
时间：10月16号（周五）14:30-16:00
地点：15号楼518室
主持人：符曦
报告人简介：
刘刚，博士，衡阳师范学院教授，湖南省青年骨干教师。 研究方向：复分析与复动力系统。已先后在“Bull. Math. Sci.” “Math. Nachr.”“J. Compu. Appl. Math .”等国内外数学期刊上发表SCI论文20余篇，主持（完成）或参加国家级、省部级科研项目多项。
讲座简介：In this talk, we investigate the number of zeros of harmonic polynomials with coefficients aj are non- zero constants and nj are positive integers . Assume that f is regular. Then we show that f has at least n1+2(n2+n3+...nk) zeros when each of its corresponding real polynomials has two distinct positive zeros. Furthermore, there are some such harmonic polynomials which have at least n1+n2(n2+1) zeros under particular conditions. In particular, if we choose n1=n and n2=n-1, then it provides an array of new examples for the sharp bound n2 of zeros of harmonic polynomials p+q, where p and q are analytic polynomials with degree n and n-1 respectively. The sharpness in case n=3 is continued to be studied, and thus a sufficient condition on two parameters a and b is obtained by Cardano’s Formula for which the harmonic polynomial has exactly 9 zeros.
