MathProblemsBank

10.8.21 Series with Complex Terms

Condition: Find all decompositions of a given function according to the degrees of a given difference \ ((Z-A) \). Indicate the areas of the suitability of each of the decompositions. \ [f (z) = \ frac {z+2} {\ left (z^{2} +2 z+5 \ right)^{2}} \ text {according to degrees} (z+1) \]

Expansion of Complex Functions in Laurent and Taylor Series. Both Single-Valood and Multi-Valood Function are Consedered, Indicating the Branches Along Which-Valved Functions are Taken.