关于某些幂级数展开式系数正性的注记
A Note on The Positivity of the Coefficients of Some Power Series Expansions
摘要：
本文证明了幂级数系数在一定条件下为正的一个一般性结果。这使我们能够肯定地回答郭（2010）提出的一个问题，关于幂级数的系数的符号与哈雷迭代的$p$ th根的残差有关。
英文摘要：
In this short note, a general result concerning the positivity, under some conditions, of the coefficients of a power series is proved. This allows us to answer positively a question raised by Guo (2010) about the sign of the coefficients of a power series relating the residual errors in Halley's iterations for the $p$th root.
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。
