SOME NORMALITY CRITERIA OF MEROMORPHIC FUNCTIONS |
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Authors: | Chunlin LEI Mingliang FANG Cuiping ZENG |
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Affiliation: | [1]Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, China [2]Department of Mathematics, Guangdong University of Finance, Guangzhou 510521, China |
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Abstract: | Let ? be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ ?, all of whose zeros have multiplicity at least k + 1, and f + a(f(k))n ≠ b in D, then ? is normal in D. |
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Keywords: | meromorphic function value distribution normal families |
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