Geodesic
Entire solutions of $q$-difference equations and value distribution of $q$-difference polynomials
Jilong Zhang1 ; Lianzhong Yang2
1Beihang University LMIB and School of Mathematics & Systems Science Beijing, 100191, P.R. China
2School of Mathematics Shandong University Jinan, Shandong, 250100, P.R. China
Annales Polonici Mathematici, Tome 109 (2013) no. 1, pp. 39-46
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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 value distribution of $q$-difference polynomials},
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 value distribution of $q$-difference polynomials
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 value distribution of $q$-difference polynomials
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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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