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 Value distribution of some $q$-difference polynomials Bull. Korean Math. Soc. 2016 Vol. 53, No. 1, 29-38 https://doi.org/10.4134/BKMS.2016.53.1.29Printed January 31, 2016 Na Xu and Chun-Ping Zhong Xiamen University, Xiamen University Abstract : For a transcendental entire function $f(z)$ with zero order, the purpose of this article is to study the value distributions of $q$-difference polynomial $f(qz)-a(f(z))^{n}$ and $f(q_{1}z)f(q_{2}z)\cdots f(q_{m}z)-a(f(z))^{n}.$ The property of entire solution of a certain $q$-difference equation is also considered. Keywords : $q$-difference polynomial, value distribution, entire function MSC numbers : 30D35, 39A05 Downloads: Full-text PDF