Geodesic
Value distribution and uniqueness of difference polynomials and entire solutions of difference equations
Xiaoguang Qi1
1 School of Mathematics University of Jinan Jinan, 250022, P.R. China
Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 129-142 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This paper is devoted to value distribution and uniqueness problems for difference polynomials of entire functions such as $f^n(f-1)f(z+c)$. We also consider sharing value problems for $f(z)$ and its shifts $f(z+c)$, and improve some recent results of Heittokangas et al. [J. Math. Anal. Appl. 355 (2009), 352–363]. Finally, we obtain some results on the existence of entire solutions of a difference equation of the form $f^{n}+P(z)(\Delta _cf)^m=Q(z).$
DOI : 10.4064/ap102-2-3
Keywords: paper devoted value distribution uniqueness problems difference polynomials entire functions f consider sharing value problems its shifts improve recent results heittokangas math anal appl finally obtain results existence entire solutions difference equation form delta

Xiaoguang Qi 1

1 School of Mathematics University of Jinan Jinan, 250022, P.R. China 
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Xiaoguang Qi. Value distribution and uniqueness of difference polynomials
 and entire solutions of difference equations. Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 129-142. doi: 10.4064/ap102-2-3

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