报告题目: Eulerian Numbers, Eulerian Polynomials, and B-Splines and Their Generalizations and Applications in Numerical Analysis
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17日上午9：00-10：00
报告地点：数学楼一楼第二报告厅
报告摘要:
We present the interrelationships between Eulerian polynomials and Euler-Frobenius polynomials, Eulerian numbers and discrete B-splines, Eulerian fractions and Euler-Frobenius fractions. Those discovered connections are used to develop their properties efficiently. The applications in spline image interpolation, wavelet analysis, and the evaluation of Riemann zeta function values at odd integers are discussed. We also extend the B-splines, Eulerian numbers,Eulerian polynomials, and Eulerian fractions to the complex orders and present their applications to the polylogarithm functions. Some recent works on the q-analogues of B-splines, Eulerian numbers, and Eulerian- Frobenius polynomials by Disibuyuk and Ulutas and generalized Eulerian numbers of different kinds by Rzadkowski and Urlinska are introduced. Some open problems are presented.
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。
