arXiv Open Access 2013

On the Structure of Compatible Rational Functions

Shaoshi Chen Ruyong Feng Guofeng Fu Ziming Li

Lihat Sumber

Abstrak

A finite number of rational functions are compatible if they satisfy the compatibility conditions of a first-order linear functional system involving differential, shift and q-shift operators. We present a theorem that describes the structure of compatible rational functions. The theorem enables us to decompose a solution of such a system as a product of a rational function, several symbolic powers, a hyperexponential function, a hypergeometric term, and a q-hypergeometric term. We outline an algorithm for computing this product, and present an application.

Topik & Kata Kunci

cs.SC math.CO

Penulis (4)

Shaoshi Chen

Ruyong Feng

Guofeng Fu

Ziming Li

Format Sitasi

APA MLA BibTeX

Chen, S., Feng, R., Fu, G., Li, Z. (2013). On the Structure of Compatible Rational Functions. https://arxiv.org/abs/1301.5046

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓