37000gcom威尼斯2023年第22期数理大讲堂

报告题目：Derivative polynomials and Eulerian polynomials

报告人：马世美

报告时间：2023年5月27日 15:00-15:45

报告地点：37000gcom威尼斯3号楼3B205

摘要：

In this talk, we first give a short survey on the study of derivative polynomials of tangent and secant functions. In particular, we explore the similarity of derivative polynomials and Chebyshev polynomials. The idea is tochoose the derivative polynomials for tangent and secant as basis sets of polynomial space. We then provide combinatorial interpretations of Eulerian polynomials of types A and B in terms of Stirling permutations. Finally, we introduce the Stirling permutation code. As applications, a large number of equidistributionresults follow from simple applications of the Stirling permutationcodes.

专家简介：

马世美，目前为东北大学教授，河北省青年拔尖人才。博士毕业于大连理工大学，主要研究排列统计量及相关计数多项式。特别是在形式文法理论的研究方面取得了一系列具有原创性的成果。已在JCTA，EUJC，EJC等期刊发表论文40多篇，先后主持三项国家自然科学基金。