ㄧ題簡單留數問題~~~

2009-12-29 5:20 am
sinhz/[z^4(1-z^2)]在z=0的留數

回答 (3)

2009-12-30 9:39 am
✔ 最佳答案
sinhz=z+z^3/3!+z^5/5!+...
1/(1-z^2)=1+z^2+z^4+z^6+...
so, sinhz/(1-z^2)=(z+z^3/6+...)(1+z^2+z^4+...)
=z+(7/6)z^3+...(higher order than z^4)
so, residue of sinhz/[z^4(1-z^2)] at pole z=0 is 7/6
2009-12-29 9:47 am
恩...
因為解別人的發問者會看有錯可以切磋
可是自己解只有自己看
2009-12-29 6:13 am


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