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Jun 30, 2021 at 4:04 comment added Alexandre Eremenko @Hana_a_stuent: unless you work a bit harder and find such a set E for which the map is an elementary function.
Jun 30, 2021 at 3:21 comment added Alexandre Eremenko @Hana_a_student: yes, it does.
Jun 29, 2021 at 14:48 vote accept Hana_a_student
Jun 29, 2021 at 14:48 comment added Hana_a_student @Eremenko Does the existence of such a conformal map $\phi$ follow from Riemann mapping theorem?
Jun 29, 2021 at 13:19 history answered Alexandre Eremenko CC BY-SA 4.0