| Autor: |
Chen, Shaoshi, Feng, Ruyong, Fu, Guofeng, Li, Ziming |
| Rok vydání: |
2013 |
| Předmět: |
|
| Zdroj: |
Proceedings of the 2011 International Symposium on Symbolic and Algebraic Computation, pages 91--98, 2011, ACM |
| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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