10.8.18 Series with complex terms
condition: Expand the function \( f(z)=\frac{z}{\left(z^{2}-1\right)^{3}} \quad \) into a Laurent series in the region \( |z+1|>1 \).
Expansion of complex functions in Laurent and Taylor series. Both single-valued and multi-valued functions are considered, indicating the branches along which the multi-valued functions are taken.