10.8.11 Series with complex terms
Condition: Find all Laurent expansions of this function in powers \( \left(z-z_{0}\right) \) : \[ \frac{z+1}{(2 z-1)(z-2)}, \quad z_{0}=2 \text {. } \]
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.