
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.