Entire solutions of $q$-difference equations and
value distribution of $q$-difference polynomials
Annales Polonici Mathematici, Tome 109 (2013) no. 1, pp. 39-46
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate the existence and uniqueness of entire solutions of order zero of the nonlinear $q$-difference equation of the form $f^n(z) + L(z) = p(z)$, 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.
Keywords:
investigate existence uniqueness entire solutions order zero nonlinear q difference equation form where polynomial linear differential q difference polynomial small growth coefficients study zeros distribution special type q difference polynomials
Affiliations des auteurs :
Jilong Zhang 1 ; Lianzhong Yang 2
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author = {Jilong Zhang and Lianzhong Yang},
title = {Entire solutions of $q$-difference equations and
value distribution of $q$-difference polynomials},
journal = {Annales Polonici Mathematici},
pages = {39--46},
publisher = {mathdoc},
volume = {109},
number = {1},
year = {2013},
doi = {10.4064/ap109-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-3/}
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Jilong Zhang; Lianzhong Yang. Entire solutions of $q$-difference equations and value distribution of $q$-difference polynomials. Annales Polonici Mathematici, Tome 109 (2013) no. 1, pp. 39-46. doi: 10.4064/ap109-1-3
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