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2008 Experiments with a Positivity-Preserving Operator
Manuel Kauers, Doron Zeilberger
Experiment. Math. 17(3): 341-345 (2008).

Abstract

We consider some multivariate rational functions that 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 that seem to have only positive coefficients, whose positivity would imply positivity of the original series, and that, in a certain sense, cannot be improved any further.

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Manuel Kauers. Doron Zeilberger. "Experiments with a Positivity-Preserving Operator." Experiment. Math. 17 (3) 341 - 345, 2008.

Information

Published: 2008
First available in Project Euclid: 19 November 2008

zbMATH: 1157.05003
MathSciNet: MR2455705

Subjects:
Primary: 05A15 , 33F10

Keywords: computer algebra , positivity , Special functions

Rights: Copyright © 2008 A K Peters, Ltd.

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Vol.17 • No. 3 • 2008
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