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07-25微分方程系列报告【Linxiao Chen】

Title:Singularity analysis of generating functions given by parametric equations
Speaker:Linxiao Chen   (University of Helsinki)
Time:2019年7月25日           下午  16:30-17:30
Room:东区管理科研楼  数学科学学院1318室

Abstract:The aim of this talk is to present some new ideas on the asymptotic expansion of positive real sequences whose generating function is given by an explicit parametric equation. To provide context, I will first introduce/recall briefly some classical theory of asymptotic analysis in enumerative combinatorics. This part follows the book of Flajolet and Sedgewick. After that, I will try to explain why "having a parametric equation" defines an interesting class of generating functions, and compare it with the class of algebraic functions. Finally, I will present some methods for the analysis of these generating functions, and give two examples of application.


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  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会