Exceptional functions and normal families of meromorphic functions with multiple zeros |
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Authors: | Chunlin Lei Degui Yang Xueqin Wang |
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Affiliation: | Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, PR China |
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Abstract: | Let k be a positive integer with k?2; let h(?0) be a holomorphic function which has no simple zeros in D; and let F be a family of meromorphic functions defined in D, all of whose poles are multiple, and all of whose zeros have multiplicity at least k+1. If, for each function f∈F, f(k)(z)≠h(z), then F is normal in D. |
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Keywords: | Meromorphic functions Holomorphic functions Normal families |
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