|
|
|
On value distribution of f(k) - afn |
| ZHANG Zhanliang |
| Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China |
|
|
|
|
Abstract The aim of this paper is to discuss the value distribution of the function f(k) - afn. Under the assumption that f(z) is a transcendental meromorphic function in the complex plane and a is a non-zero constant, it is proved that if n ≥ k + 3, then f(k) - afn has infinitely many zeros. The main result is obtained by using the Nevanlinna theory and the Clunie lemma of complex functions.
|
|
Issue Date: 05 December 2006
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
