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Entire functions with separated zeros and $1$-points
Published 2 Feb 2020 in math.CV | (2002.00376v1)
Abstract: We consider transcendental entire functions of finite order for which the zeros and $1$-points are in disjoint sectors. Under suitable hypotheses on the sizes of these sectors we show that such functions must have a specific form, or that such functions do not exist at all.
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