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学术报告六十二:Asymptotic expansion of orthogonal polynomials

来源:数学与统计学院     作者:     时间:2018/6/29 18:07:18  0次

数学与统计学院学术报告[2018]062

(高水平大学建设系列报告181)

讲座题目: Asymptotic expansion of orthogonal polynomials via difference equations

讲座人:Xiang-Sheng Wang  University of Louisiana at Lafayette

讲座时间: 201871 17:00-18:00

讲座地点:科技楼514

报告内容:

We develop a simple and unified technique in finding asymptotic expansion of orthogonal polynomials from their difference equations. By preserving the symmetry in the difference equation, we are able to express the higher-order terms in the asymptotic expansion as an integral whose integrand can be explicitly obtained by a recurrence relation, while the integration constant is to be determined by a matching condition relates to the initial conditions and coefficients in the difference equation. This talked is based on a joint work with Dr. Lihua Cao and Dr. Xiaomin Huang.

报告人简历:

Dr. Xiang-Sheng Wang is an Assistant Professor of Mathematics at University of Louisiana at Lafayette. He obtained his PhD degree in Mathematics from City University of Hong Kong (jointly awarded by University of Science and Technology of China). His research interests include asymptotic analysis and differential equations. Dr. Wang has published about 30 research papers in peer-reviewed journals, including Analytical Chemistry, Constructive Approximation, Journal of Differential Equations,  Proceedings of the American Mathematical Society,  Physical Review E, SIAM Journal on Control and Optimization, and others.

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