Value distribution and uniqueness of difference polynomials and entire solutions of difference equations
Xiaoguang Qi
Annales Polonici Mathematici, Tome 101 (2011), p. 129-142 / Harvested from The Polish Digital Mathematics Library
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This paper is devoted to value distribution and uniqueness problems for difference polynomials of entire functions such as fⁿ(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 fⁿ+P(z)(Δcf)m=Q(z).

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280464 
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Xiaoguang Qi. Value distribution and uniqueness of difference polynomials and entire solutions of difference equations. Annales Polonici Mathematici, Tome 101 (2011) pp. 129-142. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-3/