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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. http://geodesic.mathdoc.fr/articles/10.4064/ap102-2-3/

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