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ISSAC
2009
Springer
172views Mathematics» more  ISSAC 2009»
14 years 2 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
ISSAC
2009
Springer
147views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Fast algorithms for differential equations in positive characteristic
We address complexity issues for linear differential equations in characteristic p > 0: resolution and computation of the p-curvature. For these tasks, our main focus is on al...
Alin Bostan, Éric Schost
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
ISSAC
2009
Springer
120views Mathematics» more  ISSAC 2009»
14 years 2 months ago
A non-holonomic systems approach to special function identities
We extend Zeilberger’s approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals...
Frédéric Chyzak, Manuel Kauers, Brun...
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost