科研之友
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摘要
Let F be a family of functions holomorphic on a domain D subset of C. Let k >= 2 be an integer and let h be a holomorphic function on D, all of whose zeros have multiplicity at most k - 1, such that h(z) has no common zeros with any f is an element of T. Assume also that the following two conditions hold for every f is an element of F : (a) f (z) = 0 double right arrow f'(z) = h(z); and (b) f'(z) = h(z) double right arrow vertical bar f((k)) (z)vertical bar <= c, where c is a constant. Then F is normal on D.
- 出版日期2011-1
- 单位上海理工大学
