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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<sup>(k)</sup> 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, n<sub>1</sub>, ..., n<sub>k</sub> with n≥1, n<sub>1</sub>+...+n<sub>k</sub>≥1, if δ(o,f)>3/(3n+3n<sub>1</sub>+...+3n<sub>k</sub>+1), then f<sup>n</sup>(f<sup>l</sup>)<sup>n1</sup>...(f<sup>k</sup>)<sup>nk</sup> has no finite non-zero Picard values.
Rights © Department of Mathematics, Tokyo Institute of Technology. Reproduced with permission.
Language English
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