author = {Shaoshi Chen and Ruyong Feng and Guofeng Fu and Ziming Li},
title = {{On the Structure of Compatible Rational Functions}},
booktitle = {{Proceedings of ISSAC 2011}},
language = {english},
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.},
pages = {91--98},
publisher = {ACM},
isbn_issn = {978-1-4503-0675-1},
year = {2011},
month = {June},
editor = {Anton Leykin},
refereed = {yes},
length = {8},
conferencename = {The 36th International Symposium on Symbolic and Algebraic Computation (ISSAC2011)},
url = {http://algo.inria.fr/chen/}