10.5.48 Conformal Mappings
Condition: Find the image of the region \ [\ begin {array} {l} d = \ \ \ operatorname {rez}> 0 \} \ cup \ {-2 \ pi <\ OperatorName {IM} Z <0 \}} z <0 \} \ backslash \ {z = t- \ pi i, \\ t \ in [0; 1] \} \ text {when display} f (z) = \ cos \ frac {i t} {2}. \ end {Array} \]
Problems of Finding Conformal Mappings of Domains with and Without Cuts, USing Linear Frations, Trigonometric Function, Power Function, Zhukovsky Function.