TY - UNPB
T1 - Experiments with a Positivity Preserving Operator
AU - Zeilberger, Doron
AU - Kauers, Manuel
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
M3 - Research report
T3 - SFB F013 Reports
BT - Experiments with a Positivity Preserving Operator
PB - SFB F013
CY - Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria
ER -