论文标题
在Fabry的商定理上
On Fabry's quotient theorem
论文作者
论文摘要
我们提供了Fabry商定理的简短证明，该证据指出，对于带有单位收敛的复杂功率系列，如果其连续系数的商趋向于$ s $，那么点$ z = S $是该系列的单数点。此证明仅使用大学研究本科研究的材料。
We present a short proof of the Fabry quotient theorem, which states that for a complex power series with unit radius of convergence, if the quotient of its consecutive coefficients tends to $ s $, then the point $ z=s $ is a singular point of the series. This proof only uses material from undergraduate university studies.
