A counterexample of a normality criterion for families of meromorphic functions
نویسندگان
چکیده
منابع مشابه
Some normality criteria for families of meromorphic functions
*Correspondence: [email protected] 4School of Economic and Management, Guangzhou University of Chinese Medicine, Guangzhou, 510006, People’s Republic of China Full list of author information is available at the end of the article Abstract In the note, we study the normality of families of meromorphic functions. We consider whether a family of meromorphic functions F is normal in D if, for a no...
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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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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2018
ISSN: 1631-073X
DOI: 10.1016/j.crma.2017.11.008