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Set of Poles of Solutions of Linear Di#erence Equations with Polynomial Coe#cients
 

Summary: Set of Poles of Solutions of Linear Di#erence
Equations with Polynomial Coe#cients
S. A. Abramov #
Russian Academy of Sciences,
Dorodnicyn Computing Centre,
Vavilova 40, 119991, Moscow GSP­1,
Russia
abramov@ccas.ru
M. van Hoeij +
Department of mathematics
Florida State University,
Tallahassee, FL 32306­3027,
USA
hoeij@math.fsu.edu
Abstract
We present an approach to sharpen the bounds for the set of poles
of meromorphic solutions of di#erence equations with polynomial co­
e#cients. The desingularization of the operator corresponding to the
given equation plays the key role. Additionally we consider certain
problems related to the existence of solutions that are analytic (or r

  

Source: Abramov, Sergei A. - Dorodnicyn Computing Centre of the Russian Academy of Sciences

 

Collections: Mathematics; Computer Technologies and Information Sciences