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Normal Families of Meromorphic Functions Whose Poles are Locally Uniformly Discrete
並列摘要
Let h be a positive number, and let a(z) be a function holomorphic and zero-free on a domain D. Let F be a family of meromorphic functions on D such that for every f ∈F, f(z) = 0⇒ f'(z) = a(z) and f'(z) = a(z)⇒|f”(z)| ≤ h. Suppose that each pair of functions f and g in F have the same poles. Then F is normal on D.
並列關鍵字
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