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Aug 6, 2012 at 1:07 history closed user5810
S. Carnahan
no longer relevant
Aug 5, 2012 at 9:01 comment added Alexandre Eremenko Examples of such functions are Mittag-Leffler functions, and they are described in good textbooks on function theory or on special functions. I propose to close the question.
Apr 7, 2011 at 22:08 comment added Jonas Meyer Andrey Rekalo shows that the answer is all $\theta<\pi$ at mathoverflow.net/questions/29734/…
Apr 7, 2011 at 21:24 history asked user5810 CC BY-SA 2.5