幂级数的和函数

Sum functions of power series

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1
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.
2
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.
3
摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。
In this paper by using the property of Fourier series a compound series consisting of trigonometric series and power series is established.

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