报告题目 (Title)：Stability problems in Symbolic Integration and Summation（符号积分与求和式中的稳定性问题）

报告人 (Speaker)：陈绍示 副研究员（中国科学院数学与系统科学研究院）

报告时间 (Time)：2023年4月14日(周五) 10:00—11:00

报告地点：腾讯会议（185-682-969）

邀请人(Inviter)：王晓霞

主办部门：理学院数学系

报告摘要：This talk aims at motivating a dynamical aspect of symbolic integration and summation by studying some stability problems on iterated integration and summation of special functions. We first show some basic properties of stable functions in differential and difference fields and then characterize several special families of stable functions including rational functions, logarithmic functions, hyperexponential functions and hypergeometric terms. After that, we prove that all D-finite power series and P-recursive sequences are eventually stable. Some problems for future studies are proposed towards deeper dynamical studies in differential and difference algebra. This talk is based on a joint works with Xiuyun Li.