arXiv Open Access 2017

Apparent Singularities of D-finite Systems

Shaoshi Chen Manuel Kauers Ziming Li Yi Zhang

Lihat Sumber

Abstrak

We generalize the notions of singularities and ordinary points from linear ordinary differential equations to D-finite systems. Ordinary points 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.

Topik & Kata Kunci

cs.SC

Penulis (4)

Shaoshi Chen

Manuel Kauers

Ziming Li

Yi Zhang

Format Sitasi

APA MLA BibTeX

Chen, S., Kauers, M., Li, Z., Zhang, Y. (2017). Apparent Singularities of D-finite Systems. https://arxiv.org/abs/1705.00838

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓