A modular algorithm for computing the exponential solutions of a linear differential operator

We present a new algorithm for computing exponential solutions of differential operators with rational function coefficients. We use a combination of local and modular computations, which allows us to reduce the number of possibilities in the combinatorial part of the algorithm. We also show how unn...

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Veröffentlicht in:Journal of symbolic computation Jg. 38; H. 3; S. 1043 - 1076
Hauptverfasser: Cluzeau, Thomas, van Hoeij, Mark
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.09.2004
Elsevier
Schlagworte:
Differential equations
Exponential solutions
Modular algorithms
Exponential solutions
Modular algorithms
Differential equations
ISSN:0747-7171, 1095-855X
Online-Zugang:Volltext
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Zusammenfassung:We present a new algorithm for computing exponential solutions of differential operators with rational function coefficients. We use a combination of local and modular computations, which allows us to reduce the number of possibilities in the combinatorial part of the algorithm. We also show how unnecessarily large algebraic extensions of the constants can be avoided in the algorithm.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2003.11.004