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

Xiaoguang Qi. "Value distribution and uniqueness of difference polynomials and entire solutions of difference equations." Annales Polonici Mathematici 102.2 (2011): 129-142. <http://eudml.org/doc/280464>.

@article{XiaoguangQi2011,
abstract = {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 $fⁿ + P(z)(Δ_cf)^m = Q(z).$},
author = {Xiaoguang Qi},
journal = {Annales Polonici Mathematici},
keywords = {entire functions; difference polynomials; sharing values; Nevanlinna theory},
language = {eng},
number = {2},
pages = {129-142},
title = {Value distribution and uniqueness of difference polynomials and entire solutions of difference equations},
url = {http://eudml.org/doc/280464},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Xiaoguang Qi
TI - Value distribution and uniqueness of difference polynomials and entire solutions of difference equations
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 2
SP - 129
EP - 142
AB - 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 $fⁿ + P(z)(Δ_cf)^m = Q(z).$
LA - eng
KW - entire functions; difference polynomials; sharing values; Nevanlinna theory
UR - http://eudml.org/doc/280464
ER -