关于函数1/（1-z）的泰勒级数的θ求和法
On summation of the Taylor series of the function 1/(1-z) by the theta summation method
摘要：
考虑泰勒级数族f_ε（z）= \sum \limits_{0\leq{}n<\infty} e^{-εn^2}z^n，其中枚举该级数族的参数ε遍历]0，\infty [.研究了该族的极限行为为ε \to +0.
英文摘要：
The family of the Taylor series f_ε(z)= \sum\limits_{0\leq{}n<\infty}e^{-εn^2}z^n is considered, where the parameter ε, which enumerates the family, runs over ]0,\infty[. The limiting behavior of this family is studied as ε\to+0.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
