The algorithm described here extends the algorithm to nd all polynomial solutions of di erential and di erence equations that was given in [1, 2] to more general operators.Expand

We describe a multiplicative normal form for rational functions which exhibits the shift structure of the factors, and investigate its properties.Expand

Muscle contractions present the main source of unpleasant sensations for patients undergoing electrochemotherapy. The contractions are a consequence of high voltage pulse delivery. Relatively low… Expand

We present an algorithm which, given a hypergeometric term <i>T</i>(<i>n</i>), constructs hypergeometry terms <i T</i><subscrpt>1</subscRpt>(< i>N</i>) such that the sum of the terms is minimal in some sense.Expand

We show that the multivariate case is much richer: even though initial conditions have rational generating functions, the corresponding solutions can have generating functions which are algebraic but not rational, D-finite but not algebraic, and even non-Finite.Expand

We show that the class of k-letter graphs is well-quasi-ordered by the induced subgraph relation, and that it has a finite set of minimal forbidden subgraphs.Expand

D'Alembertian solutions of differential (resp. difference) equations are those expressible as nested indefinite integrals of hyperexponential functions.Expand

Electropermeabilization is a phenomenon that transiently increases permeability of the cell plasma membrane. In the state of high permeability, the plasma membrane allows ions, small and large… Expand