Manuel Kauers, Doron Zeilberger,
"Experiments with a Positivity Preserving Operator"
, in Experimental Mathematics, Vol. 17, Nummer 3, Seite(n) 341-345, 2008, ISSN: 1058-6458
Original Titel:
Experiments with a Positivity Preserving Operator
Sprache des Titels:
Englisch
Original Kurzfassung:
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.
Forschungs-