| | |
Summary: Subanalytic Solutions of Linear Difference
Equations and Multidimensional
Hypergeometric Sequences
S. A. Abramov
Computing Centre of the Russian Academy of Sciences
Vavilova 40, Moscow 119333, Russia
M. A. Barkatou
Institute XLIM Universit´e de Limoges, CNRS
123, Av. A. Thomas, 87060 Limoges cedex, France
M. van Hoeij
Florida State University, Department of Mathematics
Tallahassee, FL 32306-3027, USA
M. Petkovsek
University of Ljubljana, Faculty of Mathematics and Physics
Jadranska 19, SI-1000 Ljubljana, Slovenia
Abstract
We consider linear difference equations with polynomial coefficients over C and their solutions in
the form of sequences indexed by the integers (sequential solutions). We investigate the C-linear
space of subanalytic solutions, i.e., those sequential solutions that are the restrictions to Z of
some analytic solutions of the original equation. It is shown that this space coincides with the
|
