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Please use this identifier to cite or link to this item: http://hdl.handle.net/2080/976

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contributor.authorNayak, T-
contributor.authorPrasad, M Guru Prem-
date.accessioned2009-07-31T10:30:25Z-
date.available2009-07-31T10:30:25Z-
date.issued2009-07-
identifier.citationErgodic Theory and Dynamical Systems, 21 July 2009, Pages 1-15en
identifier.urihttp://dx.doi.org/10.1109/IADCC.2009.4809075-
identifier.urihttp://hdl.handle.net/2080/976-
description.abstractLet MD f f .z/ D .zm=sinhm z/ for z 2 C j either m or m=2 is an odd natural numberg. For each f 2M, the set of singularities of the inverse function of f is an unbounded subset of the real line R. In this paper, the iteration of functions in oneparameter family S D f f.z/ D f .z/ j  2 R n f0gg is investigated for each f 2M. It is shown that, for each f 2M, there is a critical parameter  > 0 depending on f such that a period-doubling bifurcation occurs in the dynamics of functions f in S when the parameter jj passes through . The non-existence of Baker domains and wandering domains in the Fatou set of f is proved. Further, it is shown that the Fatou set of f is infinitely connected for 0 < jj   whereas for jj  , the Fatou set of f consists of infinitely many components and each component is simply connected.en
format.extent185902 bytes-
format.mimetypeapplication/pdf-
language.isoen-
publisherCambridge University Pressen
titleIteration of Certain Meromorphic Functions with Unbounded Singular Valuesen
typeArticleen
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