Geodesic
Entire solutions of $q$-difference equations and value distribution of $q$-difference polynomials
Jilong Zhang1 ; Lianzhong Yang2
1 Beihang University LMIB and School of Mathematics & Systems Science Beijing, 100191, P.R. China
2 School of Mathematics Shandong University Jinan, Shandong, 250100, P.R. China
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.
DOI : 10.4064/ap109-1-3
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

Jilong Zhang 1 ; Lianzhong Yang 2

1 Beihang University LMIB and School of Mathematics & Systems Science Beijing, 100191, P.R. China
2 School of Mathematics Shandong University Jinan, Shandong, 250100, P.R. China 
@article{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},
     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/}
}
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
SP  - 39
EP  - 46
VL  - 109
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-3/
DO  - 10.4064/ap109-1-3
LA  - en
ID  - 10_4064_ap109_1_3
ER  - 
%0 Journal Article
%A Jilong Zhang
%A Lianzhong Yang
%T Entire solutions of $q$-difference equations and
 value distribution of $q$-difference polynomials
%J Annales Polonici Mathematici
%D 2013
%P 39-46
%V 109
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-3/
%R 10.4064/ap109-1-3
%G en
%F 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 109 (2013) no. 1, pp. 39-46. doi : 10.4064/ap109-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ap109-1-3/

Cité par Sources :