11月24日 曲阜师范大学苏循团副教授学术报告

发布时间:2021-11-19   浏览次数:10

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