arXiv
Open Access
2023
Stability Problems on D-finite Functions
Shaoshi Chen
Ruyong Feng
Zewang Guo
Wei Lu
Abstrak
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.
Penulis (4)
S
Shaoshi Chen
R
Ruyong Feng
Z
Zewang Guo
W
Wei Lu
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓