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In this paper, we investigate the uniqueness problem related to an entire function f(z) and its q-difference f(qz), where q is a non-zero constant. We will prove some q-difference analogues of the theorem given by K.W. Yu [On entire and meromorphic functions that share small functions with their derivatives, J. Inequal. Pure Appl. Math. 4 (2003), Article ID 21].
How to Cite this Article:
Chao Meng, Xu Li, A note on the uniqueness of entire function f(z) sharing a small function with f(qz), Communications in Optimization Theory 2016 (2016), Article ID 18.