Stability Problems on D-finite Functions

被引：0
|
作者：
Chen, Shaoshi [1 ]
Feng, Ruyong [1 ]
Guo, Zewang [1 ]
Lu, Wei [1 ]
机构：
[1] Univ Chinese Acad Sci, Chinese Acad Sci, KLMM, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ON SYMBOLIC & ALGEBRAIC COMPUTATION, ISSAC 2023 | 2023年
基金：
北京市自然科学基金;
关键词：
D-finite functions; stable Sets; symbolic integration;
D O I：
10.1145/3597066.3597085
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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.
引用
收藏
页码：173 / 181
页数：9
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