Fleischmann, Dominique S.
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|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1017/S0143385708080383|
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In his paper [The iteration of polynomials and transcendental entire functions. J. Aust. Math. Soc. (Series A) 30 (1981), 483–495], Baker proved that the function f defined by f(z) = z+(sin?z/?z)+c has a Baker domain for c sufficiently large. In this paper we use a novel method to prove that f has a Baker domain for all c>0. We also prove that there exists an open unbounded set contained in the Baker domain on which the orbits of points under f are asymptotically horizontal.
|Item Type:||Journal Article|
|Copyright Holders:||2008 Cambridge University Press|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
|Depositing User:||Colin Smith|
|Date Deposited:||24 Apr 2009 15:25|
|Last Modified:||15 Jan 2016 18:57|
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