報告題目: $A$-sequences, $B$-sequences, and $Z$-sequences of Riordan Arrays and Their Applications
報 告 人:何天曉教授 美國伊利諾伊衛斯理大學
報告時間: 2019年6月20日下午2:30—3:30
報告地點:數學樓一樓第二報告廳
報告摘要:
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.
報告人簡介:
何天曉教授,伊利諾伊衛斯理大學數學教授,自然科學和數學的貝甯(Beling)(冠名)教授。1987年獲得大連理工大學理學博士學位,1991年獲得Texas A&M大學哲學博士學位。自1991年任教于伊利諾伊衛斯理大學至今。發表了140餘篇專業文章和6本書,其中的108篇(本)登錄在數學評論上。