10.5.52 Conformal Mappings
Condition: Find a fractional function \ (\ omega (z) \), conformally displaying the area \ (d \) to the area \ (G \) and satisfying these conditions. \ [\ Begin {Array} {l} d = \ {| z |> 1 \}, \ quad G = \ \ Omega | <2 \} \\ \ Omega (I) =-2, \ Quad \ Omega = 0. \ end {Array} \]
Problems of Finding Conformal Mappings of Domains with and Without Cuts, USing Linear Frations, Trigonometric Function, Power Function, Zhukovsky Function.