报 告 人：刘丽 教授
报告题目：Zeros distribution of reverse strongTuran expressions
报告时间：2021年11月23日（周二）下午2：00
报告地点：腾讯会议 417403325
主办单位：数学与统计学院、科学技术研究院
报告人简介：
刘丽，数学科学学院教授、博士生导师，霍英东青年教师奖获得者、泰山学者青年专家、山东省“组合数学及其应用”创新团队带头人，山东省高校青年教师教学比赛二等奖获得者，济宁市自然科学“学科带头人”。主要从事多项式零点分布、矩阵全正性和组合不等式的研究。在Advances in Applied Mathematics和DiscreteMathematics等国际知名期刊上发表高水平论文20余篇。现主持国家自然科学基金面上项目1项，主持完成国家自然科学基金项目2项、省部级项目7项，首位荣获省高等学校科学技术奖一等奖1项；荣获曲阜师范大学青年教师教学比赛一等奖，讲授的《高等代数》荣获曲阜师范大学“金课堂”；荣获曲阜师范大学师德标兵、最美教师和优秀科研工作者等称号。
报告摘要：
The Turan expression introduced by Turan,who found the Turan inequalities of Legendre polynomials in 1950. The (Hurwitz)stability of Turan expression is stronger that the q-log-concavity orq-log-convexity of original polynomial sequence. In this talk, we mainlydiscuss two recurrence sequences, whose reverse strong Turan expressions areweakly (Hurwitz) stable or have only real zeros. As applications, we obtain thereverse strong Turan expressions of Bell polynomials, Dowling polynomials,ordered Bell polynomials, ordered Dowling polynomials and associated Lahpolynomials are weakly (Hurwitz) stable respectively. And the reverse reverse strongTuran expressions of Delannoy polynomials, Morgan-Voyce polynomials, someindependence polynomials and sextet polynomials have only real zerosrespectively. Finally, we give some open problems related to the Eulerianpolynomials and Narayana polynomials. (Joint work with Xue Yan)
邀 请 人：牟丽丽