Bull. Korean Math. Soc. 2016; 53(1): 29-38
Printed January 31, 2016
https://doi.org/10.4134/BKMS.2016.53.1.29
Copyright © The Korean Mathematical Society.
Na Xu and Chun-Ping Zhong
Xiamen University, Xiamen University
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
2001; 38(1): 1-6
2023; 60(2): 425-441
2021; 58(4): 983-1002
2017; 54(3): 825-838
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd