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Dynamics of an exponential family with one pole Montes de Oca Balderas, Marco Antonio
Description
We study the dynamics of the family of meromorphic functions $f_{\lambda,\mu}(z)=\lambda e^z+\mu/z$ with non zero complex parameters. Each of these functions has one non omitted pole and infinitely many critical values which accumulate at zero. For certain parameters the functions have a cycle of period two of Baker domains, some of them have connectivity $\infty$ and others are simply connected.
Item Metadata
Title |
Dynamics of an exponential family with one pole
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-09-22T15:09
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Description |
We study the dynamics of the family of meromorphic functions $f_{\lambda,\mu}(z)=\lambda e^z+\mu/z$ with non zero complex parameters. Each of these functions has one non omitted pole and infinitely many critical values which accumulate at zero. For certain parameters the functions have a cycle of period two of Baker domains, some of them have connectivity $\infty$ and others are simply connected.
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Extent |
35 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: BUAP
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Series | |
Date Available |
2017-03-24
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0343314
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International