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Issue 3
May  2015
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Zhou Li-li, Huang zhi-gang, Sun gui-rong. On the value distribution of complex difference[J]. Journal of East China Normal University (Natural Sciences), 2015, (3): 1-8. doi: 10.3969/j.issn.1000-5641.2015.03.001
Citation: Zhou Li-li, Huang zhi-gang, Sun gui-rong. On the value distribution of complex difference[J]. Journal of East China Normal University (Natural Sciences), 2015, (3): 1-8. doi: 10.3969/j.issn.1000-5641.2015.03.001

On the value distribution of complex difference

doi: 10.3969/j.issn.1000-5641.2015.03.001
  • Received Date: 2014-10-20
  • Publish Date: 2015-05-25
  • 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.
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