Desingularization of First Order Linear Difference Systems with Rational Function Coefficients

@article{Barkatou2018DesingularizationOF,
  title={Desingularization of First Order Linear Difference Systems with Rational Function Coefficients},
  author={M. Barkatou and Maximilian Jaroschek},
  journal={Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation},
  year={2018}
}
  • M. Barkatou, Maximilian Jaroschek
  • Published 2018
  • Mathematics, Computer Science
  • Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation
  • 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 differential equations, not all of these singularities necessarily lead to poles in solutions, as they might be what is called removable. In… CONTINUE READING
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