Journal of East China Normal University(Natural Sc ›› 2015, Vol. 2015 ›› Issue (3): 1-8.doi: 10.3969/j.issn1000-5641.2015.03.001

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On the value distribution of complex difference

Zhou Li-li, Huang zhi-gang, Sun gui-rong   

  • Received:2014-10-20 Online:2015-05-25 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.

Key words: complexdifference, difference polynomial, transcendentalmeromorphic function, the growth of order

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