Article ; Online: On the Zeros of fm(f(k))n－φ(z)
Journal of Chongqing Normal University, Vol 30, Iss 04, Pp 72-
2013 Volume 75
Abstract: ... of value distribution offm(f(k))n－φ(z).We obtain a more general result. Let f be a transcendental ... meromorphic function on the complex plane. Suppose that φ(z) is not identically zero and a small function of f ... m,k,nare three positive integers. If k≥1,n,m≥2， then fm(f(k))n－φ has infinitely many zeros ...
| Abstract | Using the Nevanlinna value distribution theory of meromorphic function, we consider the problem of value distribution offm(f(k))n－φ(z).We obtain a more general result. Let f be a transcendental meromorphic function on the complex plane. Suppose that φ(z) is not identically zero and a small function of f,m,k,nare three positive integers. If k≥1,n,m≥2， then fm(f(k))n－φ has infinitely many zeros. This paper also extends the relative theorems of Zhang Zhonghua and other people. |
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| Keywords | meromorphic function ; zeros ; value distribution ; Science (General) ; Q1-390 ; Science ; Q ; DOAJ:Science (General) ; DOAJ:Science General |
| Language | Chinese |
| Publishing date | 2013-07-01T00:00:00Z |
| Publisher | Chongqing Normal University |
| Document type | Article ; Online |
| Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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