An entire function with no fixed points and no invariant Baker domains
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- by Walter Bergweiler
- Proc. Amer. Math. Soc. 143 (2015), 197-202
- DOI: https://doi.org/10.1090/S0002-9939-2014-12202-7
- Published electronically: September 9, 2014
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Abstract:
We show that there exists an entire function which has neither fixed points nor invariant Baker domains. The question whether such a function exists was raised by Buff.References
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Bibliographic Information
- Walter Bergweiler
- Affiliation: Mathematisches Seminar, Christian–Albrechts–Universität zu Kiel, Ludewig–Meyn–Str. 4, D–24098 Kiel, Germany
- MR Author ID: 35350
- Email: bergweiler@math.uni-kiel.de
- Received by editor(s): February 18, 2013
- Received by editor(s) in revised form: March 11, 2013
- Published electronically: September 9, 2014
- Additional Notes: This research was supported by the ESF Research Networking Programme HCAA
- Communicated by: Nimish Shah
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 143 (2015), 197-202
- MSC (2010): Primary 37F10; Secondary 30D05, 49M15, 65H05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12202-7
- MathSciNet review: 3272744