报 告 人:苏循团 副教授
报告题目:On a family of two-parametric Catalannumbers
报告时间:2021年11月24日(周三)下午2:00
报告地点:腾讯会议 113954343
主办单位:数学与统计学院、科学技术研究院
报告人简介:
苏循团,曲阜师范大学副教授,硕士生导师,博士毕业于大连理工大学,主要研究代数组合学中组合序列的单峰型性质。学术成果发表于Discrete Math., J. Math.Anal. Appl.等期刊,主持过国家自然科学基金青年基金等多个项目。
报告摘要:
It is well known that Catalan numbers andcentral binomial coefficients have closed connection. In this talk, weintroduce a new family of two-parametric Catalan numbers which can unifyCatalan numbers, k-central binomial coefficients, the shifted and scaledcentral binomial coefficients, and Patalan numbers. For the two-parametricCatalan numbers, we study their combinatorial interpretation, shifted Hankeldeterminant and Stieltjes moment property. Furthermore, we give a combinatorialinterpretation for two-parametric binomial coefficients by Chung-Feller theorem,which in particular answers a question of Straub and Moll concerning k-central binomialcoefficients.
邀 请 人:牟丽丽