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arXiv · 1301.5046

On the Structure of Compatible Rational Functions

Shaoshi Chen·Ruyong Feng·Guofeng Fu·Ziming Li
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Abstract

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.

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Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li. 2013-01-22. On the Structure of Compatible Rational Functions. https://arxiv.org/abs/1301.5046

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