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edited Dec 25, 2019 at 19:10

Real part of entire function property

Is there any characterization of the set of entire functions $f(z) $ such that $\Re(f(z)) \geq \Re(\overline{f(\bar{z})})$ for all $z\in \mathbb{C}^{+} $?

($\Re$ stands for the real part)

fa.functional-analysis cv.complex-variables

asked Dec 25, 2019 at 15:47

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