就此讨论一类等比级数在求幂级数的和函数以及将函数展开成幂级数时的应用。
In this paper, we discuss how to use the geometric series to find the sums of power series and to represent functions by power series.
用比较直接的方法证明幂级数的和函数在收敛域内可以逐项微分的公式；并得到了计算傅立叶系数的一种简便方法。
A relatively direct method is expounded in this paper to prove the termwise differentiation of power series, and a simple method is expressed to calculate the Fourier coefficient.
研究了右半平面上狄利克雷级数系数的重排与此级数的和函数的增长级的关系，获得了在右半平面上有限狄利克雷级数的增长级与型保持不变的重排特征。
The relation between the rearrangement of the coefficients of a Dirichlet series in the right surface and the order of growths of this series sum-function was investigated.
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