Entire solutions of q-difference equations and value distribution of q-difference polynomials

Jilong Zhang, and Lianzhong Yang. "Entire solutions of q-difference equations and value distribution of q-difference polynomials." Annales Polonici Mathematici 109.1 (2013): 39-46. <http://eudml.org/doc/281038>.

@article{JilongZhang2013,
abstract = {We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear q-difference equation of the form fⁿ(z) + L(z) = p(z), where p(z) is a polynomial and L(z) is a linear differential-q-difference polynomial of f with small growth coefficients. We also study the zeros distribution of some special type of q-difference polynomials.},
author = {Jilong Zhang, Lianzhong Yang},
journal = {Annales Polonici Mathematici},
keywords = {entire solutions; Nevanlinna theory; value distribution; distribution of zeroes; nonlinear -difference equations; -difference polynomials},
language = {eng},
number = {1},
pages = {39-46},
title = {Entire solutions of q-difference equations and value distribution of q-difference polynomials},
url = {http://eudml.org/doc/281038},
volume = {109},
year = {2013},
}

TY - JOUR
AU - Jilong Zhang
AU - Lianzhong Yang
TI - Entire solutions of q-difference equations and value distribution of q-difference polynomials
JO - Annales Polonici Mathematici
PY - 2013
VL - 109
IS - 1
SP - 39
EP - 46
AB - We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear q-difference equation of the form fⁿ(z) + L(z) = p(z), where p(z) is a polynomial and L(z) is a linear differential-q-difference polynomial of f with small growth coefficients. We also study the zeros distribution of some special type of q-difference polynomials.
LA - eng
KW - entire solutions; Nevanlinna theory; value distribution; distribution of zeroes; nonlinear -difference equations; -difference polynomials
UR - http://eudml.org/doc/281038
ER -