Hausdorff measure of escaping sets on certain meromorphic functions
نویسندگان
چکیده
منابع مشابه
On the Hausdorff Dimension of the Escaping Set of Certain Meromorphic Functions
Let f be a transcendental meromorphic function of finite order ρ for which the set of finite singularities of f is bounded. Suppose that ∞ is not an asymptotic value and that there exists M ∈ N such that the multiplicity of all poles, except possibly finitely many, is at most M . For R > 0 let IR(f) be the set of all z ∈ C for which lim infn→∞ |f(z)| ≥ R as n → ∞. Here f denotes the n-th iterat...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2018
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2018.01.059