@inproceedings{chen2022ISSAC,
author = {Chen, Shaoshi},
title = {Stability Problems in Symbolic Integration},
year = {2022},
isbn = {9781450386883},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3476446.3535502},
doi = {10.1145/3476446.3535502},
abstract = {This paper aims at initializing a dynamical aspect of symbolic integration by studying stability problems in differential fields. We first show some basic properties of stable elementary functions and then characterize three special families of stable elementary functions including rational functions, logarithmic functions, and exponential functions. We prove that all D-finite power series are eventually stable. Some problems for future studies are proposed towards deeper dynamical studies in differential algebra.},
booktitle = {Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation},
pages = {517--524},
numpages = {8},
keywords = {symbolic integration, dynamical systems, stable functions},
location = {Villeneuve-d'Ascq, France},
series = {ISSAC '22}
}