10.5.51 Conformal mappings
Condition: Find the image of the region \( D \) under the mapping \( \omega(z) . D=\{\operatorname{Re} z>1\}, \omega=(2+2 i) z+1 \).
Problems of finding conformal mappings of domains with and without cuts, using linear fractional functions, trigonometric functions, power functions, Zhukovsky function.