Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/1806

On the value distribution of ff<sup>(k)</sup>

Authors Yang, Chung-Chun
Hu, Pei Chu
Issue Date 1996
Source Kōdai mathematical journal , v.19, 1996, p. 157-167
Summary Let f be a transcendental entire function. In this paper we will prove that if f is of finite order, then there exists at most one integer k≥2 such that ff(k) may have non-zero and finite Picard exceptional value. We also give a class of entire functions which have no non-zero finite Picard values. If f is a transcendental meromorphic function, we obtain that for non-negative integers n, n1, ..., nk with n≥1, n1+...+nk≥1, if δ(o,f)>3/(3n+3n1+...+3nk+1), then fn(fl)n1...(fk)nk has no finite non-zero Picard values.
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Rights © Department of Mathematics, Tokyo Institute of Technology. Reproduced with permission.
Language English
Format Article
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