We study the normality of families of meromorphic functions related to a result of Drasin. We consider whether a family meromorphic functions F whose each function does not take zero is normal in D, if for every pair of functions f and g in F, f (z) and g (z) share ∞ or H(f)-1 and H(g)-1 share 0, where H(f):= f ~(k) (z)+ a _(k-1) f ~(k-1) (z)+, a _0 f(z). Some examples show that the conditions in our results are best possible.
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机译:我们研究了与Drasin相关的亚纯函数族的正常性。我们考虑如果D中的每对函数f和g的f(z)和g(z)共享∞或H(f)-1,则D中每个函数不取零的亚纯函数F是正常的。和H(g)-1共享0,其中H(f):= f〜(k)(z)+ a _(k-1)f〜(k-1)(z)+,a _0 f(z )。一些例子表明,我们的结果中的条件是最好的。
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