Iteration of certain meromorphic functions with unbounded singular values
نویسندگان
چکیده
منابع مشابه
Iteration of certain meromorphic functions with unbounded singular values
Let M= { f (z)= (zm/sinhm z) for z ∈ C | either m or m/2 is an odd natural number}. For each f ∈M, 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 = { fλ(z)= λ f (z) | λ ∈ R \ {0}} is investigated for each f ∈M. It is shown that, for each f ∈M, there is a critical parameter λ > 0 ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2009
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385709000364