»ã±¨±êÌâ (Title)£ºStability problems in Symbolic Integration and Summation£¨·ûºÅ»ý·ÖÓëÇóºÍʽÖеIJ»±äÐÔÎÊÌ⣩

»ã±¨ÈË (Speaker)£º³ÂÉÜʾ ¸±×êÑÐÔ±£¨Öйú¿ÆѧԺÊýѧÓëϵͳ¿Æѧ×êÑÐÔº£©

»ã±¨¹¦·ò (Time)£º2023Äê4ÔÂ14ÈÕ(ÖÜÎå) 10:00¡ª11:00

»ã±¨µØÖ·£ºÌÚѶ»áÒ飨185-682-969£©

Ô¼ÇëÈË(Inviter)£ºÍõÏþϼ

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»ã±¨ÌáÒª£ºThis 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.