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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-3,
author = {Jilong Zhang and Lianzhong Yang},
title = {Entire solutions of q-difference equations and value distribution of q-difference polynomials},
journal = {Annales Polonici Mathematici},
volume = {107},
year = {2013},
pages = {39-46},
zbl = {1291.39022},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-3}
}
Jilong Zhang; Lianzhong Yang. Entire solutions of q-difference equations and value distribution of q-difference polynomials. Annales Polonici Mathematici, Tome 107 (2013) pp. 39-46. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap109-1-3/