In the third chapter , we study the annihilator ideals of power series and ore extensions on noncommutative rings and generalize [ 13 , proposition 3 . 1 ] 1 ] ，考虑ore扩张、幂级数环、斜幂级数环和迭代斜laurent多项式环上的情形，得出定理3
In this paper , by using the property of fourier series a compound series consisting of trigonometric series and power series is established 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。
Abstract : the paper studies the random power series of general enough , and proves that the random power series of finite order do not have almost surely deficient function 文摘:研究了十分一般的随机幂级数，并证明了有限级的随机幂级数几乎必然没有亏函数
Abstract : 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 文摘: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
According to the definition of matrix power series and the convergence property of the power series , using the type compare method , the thesis got and verified part convergence properties of the matrix power series 摘要根据矩阵幂级数的定义和数学分析中幂级数的收敛性质，运用类比的推理法，得到并验证了矩阵幂级数的部分相应的收敛性质。
