Experiments with a Positivity Preserving Operator

Details Experiments with a Positivity Preserving Operator Experiments with a Positivity Preserving Operator

2007-08-24

arxiv.org/abs/0708.3286v1

Mathematics

Combinatorics

Scientific paper

We consider some multivariate rational functions which have (or are conjectured to have) only positive coefficients in their series expansion. We consider an operator that preserves positivity of series coefficients, and apply the inverse of this operator to the rational functions. We obtain new rational functions which seem to have only positive coefficients, whose positivity would imply positivity of the original series, and which, in a certain sense, cannot be improved any further.

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