Integer translation of meromorphic functions
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- by Jeong H. Kim and Lee A. Rubel PDF
- Trans. Amer. Math. Soc. 349 (1997), 1447-1462 Request permission
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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Additional Information
- Jeong H. Kim
- Affiliation: Korea Military Academy, Seoul 139-799, Korea
- Email: jkim@hwarang.kma.ac.kr
- Lee A. Rubel
- Affiliation: Department of Mathematics, University of Illinois, Urbana, Illinois 61801
- Received by editor(s): October 17, 1994
- Received by editor(s) in revised form: March 31, 1995
- Additional Notes: The research of the second author was partially supported by a grant from the National Science Foundation.
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 1447-1462
- MSC (1991): Primary 30D45
- DOI: https://doi.org/10.1090/S0002-9947-97-01504-3
- MathSciNet review: 1325918