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## Homework Statement

find linear fractional transformation from D={z:|Arg z| < [itex]\alpha[/itex]}, [itex]\alpha≤[/itex][itex]\pi[/itex] to the upper half plane

## Homework Equations

## The Attempt at a Solution

The problem I am having here what exactly D is.. (visualizing it) D is just z such that |Arg z|≤[itex]\pi[/itex] right? so wouldn't that just be the entire complex plane? If we consider the Argument from 0 to [itex]\pi[/itex] and from 0 to -[itex]\pi[/itex] since |-[itex]\pi[/itex]|=[itex]\pi[/itex] Is this correct??