Stability Problems in Symbolic Integration
Symbolic Computation
2022-02-15 v1 Commutative Algebra
Dynamical Systems
Abstract
This paper aims to initialize a dynamical aspect of symbolic integration by studying stability problems in differential fields. We present some basic properties of stable elementary functions and D-finite power series that enable us to characterize three special families of stable elementary functions involving rational functions, logarithmic functions, and exponential functions. Some problems for future studies are proposed towards deeper dynamical studies in differential and difference algebra.
Cite
@article{arxiv.2202.06305,
title = {Stability Problems in Symbolic Integration},
author = {Shaoshi Chen},
journal= {arXiv preprint arXiv:2202.06305},
year = {2022}
}
Comments
18 pages