学术报告

Apparent Singularities of D-Finite Systems

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题目:Apparent Singularities of D-Finite Systems
报告人:陈绍示 副研究员 (中国科学院 数学与系统科学研究院)
地点:致远楼103室
时间:2019年5月24日14:00-15:00
Abstract:
We generalize the notions of ordinary points and singularities from linear ordinary differential equations to D-finite systems. Ordinary points and apparent singularities of a D-finite system are characterized in terms of its formal power series solutions. We also show that apparent singularities can be removed like in the univariate case by adding suitable additional solutions to the system at hand. Several algorithms are presented for removing and detecting apparent singularities. In addition, an algorithm is given for computing formal power series solutions of a D-finite system at apparent singularities. This is a joint work with Manuel Kauers, Ziming Li and Yi Zhang.

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