f(z)=z^2/(z^2+1)(z^2+9),求Resf(z)(z=i)和Resf(z)(z=3i)

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f(z)=z^2/(z^2+1)(z^2+9),求Resf(z)(z=i)和Resf(z)(z=3i)
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f(z)=z^2/(z^2+1)(z^2+9),求Resf(z)(z=i)和Resf(z)(z=3i)
f(z)=z^2/(z^2+1)(z^2+9),求Resf(z)(z=i)和Resf(z)(z=3i)

f(z)=z^2/(z^2+1)(z^2+9),求Resf(z)(z=i)和Resf(z)(z=3i)
z=a+bi |z|=1+3i-z |z|=√(a^2+b^2) √(a^2+b^2)=1+3i-a-bi 3-b=0 b=3 √(a^2+9)=1-a a^2+9=a^2-2a+1 a=-4 z=

Res(f(z),i)=i/16,
Res(f(z),3i)=-3i/16