Value distribution and uniqueness of difference polynomials and entire solutions of difference equations

• Autorzy: Xiaoguang Qi
• Języki publikacji: EN

Abstrakty

EN

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 $fⁿ + P(z)(Δ_cf)^m = Q(z).$

Kategorie tematyczne

• 39A05: General theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 2
• Strony: 129-142

Daty

wydano

2011

Twórcy

autor

Xiaoguang Qi

• School of Mathematics, University of Jinan, Jinan, 250022, P.R. China

Identyfikatory

DOI

10.4064/ap102-2-3