第三种方法是把待求级数用基本初等函数的幂级数展开式表示出来；
The third one is to let series be expressed by basic elementary function's power series expansion;
用求解常微分方程及其初值问题的方法得到由函数方程表示的基本初等函数。
The basic elementary functions represented by functional equations were obtained by using the methods of solving ordinary differential equations and initial value probe.
运用微积分的方法，对基本初等函数的若干特征性质进行了证明。从而给出了基本初等函数的等价表征。
This paper, using the method of differential equation, proves some characters properties of basic elementary function, and then concludes an equivalent representation about basic elementary function.
运用微积分的方法，对基本初等函数的若干特征性质进行了证明。从而给出了基本初等函数的等价表征。
This paper, using the method of differential equation, proves some characters properties of basic elementary function, and then concludes an equivalent representation about basic elementary function.
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