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ISSAC
2011
Springer

On the structure of compatible rational functions

13 years 2 months ago
On the structure of compatible rational functions
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. Categories and Subject Descriptors
Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li
Added 15 Sep 2011
Updated 15 Sep 2011
Type Journal
Year 2011
Where ISSAC
Authors Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li
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