Stability Problems on D-finite Functions
Symbolic Computation
2023-11-13 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
This paper continues the studies of symbolic integration by focusing on the stability problems on D-finite functions. We introduce the notion of stability index in order to investigate the order growth of the differential operators satisfied by iterated integrals of D-finite functions and determine bounds and exact formula for stability indices of several special classes of differential operators. With the basic properties of stability index, we completely solve the stability problem on general hyperexponential functions.
Keywords
Cite
@article{arxiv.2311.05897,
title = {Stability Problems on D-finite Functions},
author = {Shaoshi Chen and Ruyong Feng and Zewang Guo and Wei Lu},
journal= {arXiv preprint arXiv:2311.05897},
year = {2023}
}
Comments
9 pages