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, ChungChun
Hu, Pei Chu 


Issue Date  1996  
Source  Kōdai mathematical journal, v.19, 1996, p. 157167  
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 nonzero and finite Picard exceptional value. We also give a class of entire functions which have no nonzero finite Picard values. If f is a transcendental meromorphic function, we obtain that for nonnegative 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 nonzero Picard values.  
Subjects  
Rights  © Department of Mathematics, Tokyo Institute of Technology. Reproduced with permission.  
Language  English 

Format  Article  
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