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Sep 2, 2022 at 17:35 vote accept Lukasz Kosinski
Sep 2, 2022 at 17:04 answer added Alexandre Eremenko timeline score: 7
Sep 2, 2022 at 13:55 comment added Alexandre Eremenko Sorry, I thought that the question is about compact Riemann surfaces.
Sep 2, 2022 at 6:50 comment added Lukasz Kosinski My question was actually if it is possible to find a meromorphic function is bounded on $V\setminus B$ (look at $z+ 1/z$ on the plane --- what you want does not for this particular one)
Sep 2, 2022 at 1:16 comment added Alexandre Eremenko Just multiply your function with a single pole on a sufficiently small number.
Sep 1, 2022 at 22:04 history asked Lukasz Kosinski CC BY-SA 4.0