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The Uniqueness of the Entire Functions Whose n-th Powers Share a Small Function with Their Derivatives 被引量:1
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作者 Jie ZHANG hai yan kang Liang Wen LIAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第5期785-792,共8页
In this paper, we prove the following result: Let f(z) be a transcendental entire function, Q(z) ≡ 0 be a small function of f(z), and n ≥ 2 be a positive integer. If fn(z) and(fn(z)) share Q(z) CM, th... In this paper, we prove the following result: Let f(z) be a transcendental entire function, Q(z) ≡ 0 be a small function of f(z), and n ≥ 2 be a positive integer. If fn(z) and(fn(z)) share Q(z) CM, then f(z) = ce 1 nz, where c is a nonzero constant. This result extends Lv's result from the case of polynomial to small entire function. 展开更多
关键词 UNIQUENESS entire function share values small function
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