一个保正算子的实验
Experiments with a Positivity Preserving Operator
摘要：
本文考虑了某些多元有理函数的级数展开式中只有（或被证明只有）正系数。我们考虑一个保持级数系数正性的算子，并将这个算子的逆算子应用于有理函数。我们得到新的有理函数，似乎只有积极的系数，其积极性将意味着积极的原始系列，并在一定意义上，不能进一步改善。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
