Conference abstracts

Session B3 - Symbolic Analysis

July 14, 15:30 ~ 15:55

Desingularization of First Order Linear Difference Systems with Rational  Function Coefficients

Moulay Barkatou

XLIM, University of Limoges ; CNRS, France   -   moulay.barkatou@unilim.fr

 It is well known that for a first order system of linear difference equations  with rational function coefficients, a solution that is holomorphic in some  left half plane can be analytically continued to a meromorphic solution in the  whole complex plane. The poles stem from the singularities of the rational  function coefficients of the system. Just as for systems of differential  equations, not all of these singularities necessarily lead to poles in a  solution, as they might be what is called removable. In this talk, we show how  to detect and remove these singularities and further study the connection  between poles of solutions, removable singularities and the extension of  numerical sequences at these points. This is a joint work  with Maximilian Jaroschek

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FoCM 2017, based on a nodethirtythree design.