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http://hdl.handle.net/1783.1/1806
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| Title: | On the value distribution of ff(k) |
| Authors: | Yang, Chung-Chun
Hu, Pei Chu |
| Keywords: | Entire function
Meromorphic function
Picard value
Deficient condition |
| Issue Date: | 1996 |
| Citation: | Kōdai mathematical journal, v. 19, 1996, p. 157-167 |
| Abstract: | 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. |
| Rights: | © Department of Mathematics, Tokyo Institute of Technology. Reproduced with permission. |
| URI: | http://hdl.handle.net/1783.1/1806 |
| Appears in Collections: | MATH Journal/Magazine Articles
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| kodai96.pdf | | 757Kb | Adobe PDF | View/Open |
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