Article

On the value distribution of complex difference

  • ZHOU Li-Li ,
  • HUANG Zhi-Gang ,
  • SUN Gui-Rong
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Received date: 2014-10-20

  Online published: 2015-05-28

Abstract

In this paper, we investigate the value distribution of difference $\varphi_1 (z)=\frac{f(z+c)}{(f(z))^k}-a(f(z))^n$ and \varphi _2 (z)=\frac{\prod\limits_{i=1}^m {f(z+c_i )}}{(f(z))^k}-a(f(z))^n. From the viewpoint of the Nevanlinna theory, we obtained some results in analogy with Picard Theorem.

Cite this article

ZHOU Li-Li , HUANG Zhi-Gang , SUN Gui-Rong . On the value distribution of complex difference[J]. Journal of East China Normal University(Natural Science), 2015 , 2015(3) : 1 -8 . DOI: 10.3969/j.issn1000-5641.2015.03.001

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