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JSC
2010
70views more  JSC 2010»
9 years 9 months ago
Liouvillian solutions of linear difference-differential equations
For a field k with an automorphism and a derivation , we introduce the notion of liouvillian solutions of linear difference-differential systems {(Y ) = AY, (Y ) = BY } over k an...
Ruyong Feng, Michael F. Singer, Min Wu
ISSAC
2004
Springer
88views Mathematics» more  ISSAC 2004»
10 years 8 months ago
Non-liouvillian solutions for second order Linear ODEs
There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 secon...
L. Chan, E. S. Cheb-Terrab
ISSAC
2009
Springer
172views Mathematics» more  ISSAC 2009»
10 years 9 months ago
Liouvillian solutions of irreducible linear difference equations
In this paper we give a new algorithm to compute Liouvillian solutions of linear difference equations. Compared to the prior algorithm by Hendriks and Singer, our main contributi...
Yongjae Cha, Mark van Hoeij
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