Stability Problems on D-finite Functions

Autor:	Chen, Shaoshi, Feng, Ruyong, Guo, Zewang, Lu, Wei
Rok vydání:	2023
Předmět:	Computer Science - Symbolic Computation Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems 12H05 37P15 33F10 I.1.2
Zdroj:	Proceedings of ISSAC'23,2023
Druh dokumentu:	Working Paper
DOI:	10.1145/3597066.3597085
Popis:	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. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.05897 Zobrazit plný text záznamu View this record from Arxiv