3 papers
cs.SC2020
On Rational and Hypergeometric Solutions of Linear Ordinary Difference Equations in -field extensions
Sergei A. Abramov, Manuel Bronstein, Marko Petkovšek +1
We present a complete algorithm that computes all hypergeometric solutions of homogeneous linear difference equations and rational solutions of parameterized linear difference equa…
cs.SC2018
Convolutions of Liouvillian Sequences
Sergei A. Abramov, Marko Petkovšek, Helena Zakrajšek
While Liouvillian sequences are closed under many operations, simple examples show that they are not closed under convolution, and the same goes for d'Alembertian sequences. Nevert…
math.CA2004
Apparent Singularities of Linear Difference Equations with Polynomial Coefficients
S. A. Abramov, M. A. Barkatou, M. van Hoeij
Let L be a linear difference operator with polynomial coefficients. We consider singularities of L that correspond to roots of the trailing (resp. leading) coefficient of L. We pro…