# Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences

@article{Abramov2011SubanalyticSO, title={Subanalytic solutions of linear difference equations and multidimensional hypergeometric sequences}, author={S. Abramov and M. Barkatou and M. V. Hoeij and M. Petkovsek}, journal={J. Symb. Comput.}, year={2011}, volume={46}, pages={1205-1228} }

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 space of the restrictions to Z of entire solutions and that the dimension of this space is equal to the… Expand

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