MathProblemsBank

10.5.53 Conformal mappings

condition: Find the image of the domain \(D\) under the conformal mapping. \[ D=\{\alpha<\operatorname{Im} z<\beta, 0<\alpha<\beta<2 \pi\}, \omega=e^{z} \]

Problems of finding conformal mappings of domains with and without cuts, using linear fractional functions, trigonometric functions, power functions, Zhukovsky function.

-> Conformal mappings