報(bào)告題目：The stability of polynomials sequences
報(bào)告人：劉麗：曲阜師范大學(xué)教授
報(bào)告時(shí)間：2023 5.18  10：00-11：00
騰訊會議號：763-984-338
報(bào)告摘要：In this talk, we introduce our results for the real stability and the Hurwitz stability, which generalize the real-rootedness and the strong q-log-convexity of polynomials sequences respectively. As applications, we obtain the real stability of many important multivariate polynomials, such as multivariate Eulerian polynomials, multivariate Bell polynomials and multivariate polynomials over Stirling permutations in a unified manner. And we also show the zeros distribution of the reverse strong Turan expressions of Bell polynomials, Dowling polynomials, several independence polynomials and sextet polynomials.
報(bào)告人簡介：劉麗,，教授,，博士生導(dǎo)師?；粲|青年教師獎(jiǎng)獲得者,，山東省泰山學(xué)者青年專家,，山東省“組合數(shù)學(xué)及其應(yīng)用”創(chuàng)新團(tuán)隊(duì)帶頭人。2009年博士畢業(yè)于大連理工大學(xué),，師從王毅教授,。主要從事多項(xiàng)式零點(diǎn)分布、矩陣全正性和組合不等式的研究,。在Advances in Applied Mathematics等數(shù)學(xué)期刊上發(fā)表論文20余篇,。先后主持國家自然科學(xué)基金項(xiàng)目3項(xiàng)。以第一完成人獲山東省自然科學(xué)三等獎(jiǎng)和山東省高等學(xué)?？茖W(xué)技術(shù)獎(jiǎng)一等獎(jiǎng)各1項(xiàng),。