Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

Integer translation of meromorphic functions

Author(s): Jeong H. Kim; Lee A. Rubel
Journal: Trans. Amer. Math. Soc. 349 (1997), 1447-1462.
MSC (1991): Primary 30D45
MathSciNet review: 1325918
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Abstract: Let $G$ be a given open set in the complex plane. We prove that there is an entire function such that its integer translations forms a normal family in a neighborhood of $z$ exactly for $z$ in $G$ if and only if $G$ is periodic with period 1, i.e., $z\pm 1\in G$ for all $z\in G$ .

References:

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