Integro-differential polynomials and operators

@inproceedings{Rosenkranz2008IntegrodifferentialPA,
  title={Integro-differential polynomials and operators},
  author={Markus Rosenkranz and Georg Regensburger},
  booktitle={ISSAC},
  year={2008}
}
We propose two algebraic structures for treating integral operators in conjunction with derivations: The algebra of integro-differential polynomials describes nonlinear integral and differential operators together with initial values. The algebra of integro-differential operators can be used to solve boundary problems for linear ordinary differential equations. In both cases, we describe canonical/normal forms with algorithmic simplifiers. 

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