Fractional iteration of entire and rational functions
نویسندگان
چکیده
منابع مشابه
Wandering Domains in the Iteration of Compositions of Entire Functions
If p is entire, g(z) = a+ b exp(2πi/c) , where a , b , c are non-zero constants and the normal set of g(p) has no wandering components, then the same is true for the normal set of p(g) . Let f be a rational function of degree at least 2 or a nonlinear entire function. Let f , for n ∈ N denote the nth iterate of f . Denote the set of normality by N(f) and the Julia set by J(f) . Thus N(f) = {z :...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1964
ISSN: 0004-9735
DOI: 10.1017/s1446788700023338