报告题目: $A$-sequences, $B$-sequences, and $Z$-sequences of Riordan Arrays and Their Applications

报 告 人：何天晓教授 美国伊利诺伊卫斯理大学

报告时间: 2019年6月20日下午2:30—3:30

报告地点：数学楼一楼第二报告厅

报告摘要:

This work is devoted to the $A$-sequence characterization of the Riordan arrays with type-I $B$-sequences and the $Z$-sequence characterization of the Riordan arrays with type-II $B$-sequences. The computation schemes of two type $B$-sequences based on the characterization are given. An application of $B$-sequences to the second structure RNA matrices is discussed. Some subgroups characterized by $A$-sequences are presented. Finally, we investigate the sequence characterization of centralizers of the Riordan group, reverse sets of Riordan arrays, pseudo Riordan involutions, and the Pascal like matrices.

报告人简介：

   何天晓教授，伊利诺伊卫斯理大学数学教授，自然科学和数学的贝宁（Beling）（冠名）教授。1987年获得大连理工大学理学博士学位，1991年获得Texas A&M大学哲学博士学位。自1991年任教于伊利诺伊卫斯理大学至今。发表了140余篇专业文章和6本书，其中的108篇（本）登录在数学评论上。