Can anyone advise me on how to derive a conformal map for this mapping? I am familiar with how to apply SchwarzChristoffel from the upper half plane to the quadrilateral, but how do I then map from the quadrilateral to the sector?
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$\begingroup$ The map $z \mapsto z^{\alpha}$ maps the disk to a sector. The Cayley mapping takes the upper half plane to the disk. $\endgroup$– Ben McKayNov 26, 2019 at 11:19

$\begingroup$ @Ben McKay Is the mapping above as straightforward as mapping the upper half plane to a sector, considering the existence of vertex B' on the right image? $\endgroup$– niran90Nov 26, 2019 at 13:28
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