A Simple Normality Criterion Leading to a Counterexample to the Converse of the Bloch Principle
نویسندگان
چکیده
Proving a normality criterion for a family of meromorphic functions we exhibit a counterexample to the general converse of Bloch principle.
منابع مشابه
Some Normality Criteria of Meromorphic Functions
Let f be a nonconstant meromorphic function in the complex plane C. We shall use the standard notations in Nevanlinna’s value distribution theory of meromorphic functions such as T r, f , N r, f , and m r, f see, e.g., 1, 2 . The notation S r, f is defined to be any quantity satisfying S r, f o T r, f as r → ∞ possibly outside a set of E of finite linear measure. Let F be a family of meromorphi...
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