Shaoshi Chen, Ruyong Feng, Guofeng Fu, Ziming Li,
"On the Structure of Compatible Rational Functions"
, in Anton Leykin: Proceedings of ISSAC 2011, Seite(n) 91-98, 6-2011, ISBN: 978-1-4503-0675-1
Original Titel:
On the Structure of Compatible Rational Functions
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings of ISSAC 2011
Original Kurzfassung:
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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