@inproceedings{chen2021ISSACb,
author = {Chen, Shaoshi and Feng, Ruyong and Ma, Pingchuan and Singer, Michael F.},
title = {Separability Problems in Creative Telescoping},
year = {2021},
isbn = {9781450383820},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3452143.3465514},
doi = {10.1145/3452143.3465514},
abstract = {For given multivariate functions specified by algebraic, differential or difference
equations,the separability problem is to decide whether they satisfy linear differential
or difference equations in one variable. In this paper, we will explain how separability
problems arise naturally in creative telescoping and present some criteria for testing
the separability for several classes of special functions,including rational functions,
hyperexponential functions, hypergeometric terms, and algebraic functions.},
booktitle = {Proceedings of the 2021 on International Symposium on Symbolic and Algebraic Computation},
pages = {83¨C90},
numpages = {8},
keywords = {zeilberger's algorithm, separable functions, creative telescoping, separation of variables},
location = {Virtual Event, Russian Federation},
series = {ISSAC '21}
}