MathProblemsBank

10.8.16 Series with complex terms

condition: Determine the circle of convergence of the given power series. Does the series converge at a given point \( z_{1}, z_{2}, z_{3} \). If it converges, then how: absolutely or conditionally. Make a drawing.

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.

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