10.8.19 Series with complex terms
Condition: Expand the function \( f(z)=\frac{z-4}{z^{2}-8 z+15} \) into a Laurent series in the region \( 3<|z|<5 \).
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.