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| DC Field | Value | Language |
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| contributor.author | Prasad, M Guru Prem | - |
| contributor.author | Nayak, T | - |
| date.accessioned | 2009-07-31T10:30:07Z | - |
| date.available | 2009-07-31T10:30:07Z | - |
| date.issued | 2007-09 | - |
| identifier.citation | Discrete and Continuous Dynamical Systems, Vol 19, Number 1, September 2007, pp. 121–138 | en |
| identifier.uri | http://hdl.handle.net/2080/975 | - |
| description.abstract | Abstract. In this paper, the dynamics of transcendental meromorphic func- tions in the one-parameter family M= {f(z) = f(z) : f(z) = tanh(ez) for z 2 C and 2 R \ {0} }
is studied. We prove that there exists a parameter value −3.2946 such that the Fatou set of f(z) is a basin of attraction of a real fixed point for > and, is a parabolic basin corresponding to a real fixed point for = . It is a basin of attraction or a parabolic basin corresponding to a real periodic
point of prime period 2 for < . If > , it is proved that the Fatou set of f is connected and, is infinitely connected. Consequently, the singleton components are dense in the Julia set of f for > . If , it is proved that the Fatou set of f contains infinitely many pre-periodic components and each component of the Fatou set of f is simply connected. Finally, it is proved that the Lebesgue measure of the Julia set of f for 2 R \ {0} is zero. | en |
| format.extent | 243756 bytes | - |
| format.mimetype | application/pdf | - |
| language.iso | en | - |
| publisher | American Institute of Mathematical Sciences. | en |
| title | DYNAMICS OF {λ tanh(ez) : λ ∈ R \ {0}} | en |
| type | Article | en |
| Appears in Collections: | Journal Articles
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| t.nayak1.pdf | | 238Kb | Adobe PDF | View/Open |
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