关于$(1+ z)^{A}$对$|z|>1$的泰勒级数展开
On Taylor series expansion of $(1+ z)^{A}$ for $|z|>1$
摘要:
众所周知,$(1+ z)^{A}$的泰勒级数展开对于其中A是不等于零或正整数的实数的$|z|>1$不收敛。本文将$|z|>1$作为收敛级数的乘积,得到了该表达式的一个有限级数展开式.
英文摘要:
It is well known that the Taylor series expansion of $(1+ z)^{A}$ does not converge for $|z|>1$ where A is a real number which is not equal to zero or a positive integer. A limited series expansion of this expression is obtained in this paper for $|z|>1$ as a product of convergent series.
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。