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has been cited by the following article:

• TITLE: Normal Criteria and Shared Values by Differential Polynomials

  AUTHORS: Jihong Wang, Qian Lu, Qilong Liao

  KEYWORDS: Normal Family, Meromorphic Function, Shared Value, Differential Polynomial

  JOURNAL NAME: Advances in Pure Mathematics, Vol.1 No.4, July 29, 2011

  ABSTRACT: For a family of meromorphic functions on a domain D, it is discussed whether F is normal on D if for every pair functions f(z),g∈F , f'–afnand g'–agn share value d on D when n=2,3, where a, b are two complex numbers, a≠0,∞,b≠∞.Finally, the following result is obtained:Let F be a family of meromorphic functions in D, all of whose poles have multiplicity at least 4 , all of whose zeros have multiplicity at least 2. Suppose that there exist two functions a(z) not idendtically equal to zero, d(z) analytic in D, such that for each pair of functions f and in F , f'–a(z)f2 and g'–a(z)g2 share the function d(z) . If a(z) has only a multiple zeros and f(z)≠∞ whenever a(z)=0 , then F is normal in D.