On the iteration of entire 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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N(f) is the 'set of normality' and J(f) is the 'Fatou-Julia' set for / . By definition, N(f) is open (possibly empty). It is easily shown (see, for example, [6,7]) that J(f) is non-empty and perfect, and, further, that J{f) is completely invariant under mapping by / , by which is meant that z e J(f) implies both /(z) e J(f) and c e J(f) for any c which satisfies f(c) = z. Also N(f) is completel...
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Growth analysis of entire functions of two complex variables
In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1989
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-23-1-339-345