We present a new algorithm for computing hyperexponential solutions of ordinary linear differential equations with polynomial coefficients. The algorithm relies on interpreting formal series solutions at the singular points as analytic functions and evaluating them numerically at some common ordinary point. The numerical data is used to determine a small number of combinations of the formal series that may give rise to hyperexponential solutions.
| Original language | English |
|---|
| Number of pages | 8 |
|---|
| DOIs | |
|---|
| Publication status | Published - 2013 |
|---|
| Name | arXiv.org |
|---|
| No. | 1301.2486 |
|---|
| ISSN (Print) | 2331-8422 |
|---|
- 101001 Algebra
- 101002 Analysis
- 101 Mathematics
- 102 Computer Sciences
- 102011 Formal languages
- 101009 Geometry
- 101013 Mathematical logic
- 101020 Technical mathematics
- 101025 Number theory
- 101012 Combinatorics
- 101005 Computer algebra
- 101006 Differential geometry
- 101003 Applied geometry
- 102025 Distributed systems
- Computation in Informatics and Mathematics