[1]Hou shuang yin.Let’s talk about binomial (1+x) M-series[J].Journal of Zhengzhou University (Engineering Science),1982,3(02):40-43.
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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
3
Number of periods:
1982 02
Page number:
40-43
Column:
Public date:
1982-11-01
- Title:
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Let’s talk about binomial (1+x) M-series
- Author(s):
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Hou shuang yin
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Department of Mathematics, Zhengzhou Institute of Technology
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- Keywords:
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- CLC:
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- DOI:
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- Abstract:
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本文对下面两个结果都给出最简明的证法。(一)二顶式(1+x)组数1+mx+m(m-1)\2!x2+…+m(m-1)…(m-n+1)\n!xn+…(1)(m≠0,1,2,……)在|x|=1处的敛散性.(二)当x+1且m>-1时,级数(1)的和为(1+1)m=2m;当x=-1且m>0时。级数(1)的和为(1-1)m=0.