Unicity of Entire Functions Concerning their q- Derivatives-Difference-Polynomials

2020/10/09 by Huang, XiaoHuang
#30D35 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2010.04562

Abstract

In this paper, we study the unicity of entire functions concerning their q-shifts and k-th derivatives and prove: Let f(z) be a transcendental entire function of zero-order, and g(z) define as in (1.1). Let a(z), b(z) be two distinct small functions of f(z). If f(z) and g(z) share a(z), b(z) IM, then f(z)≡ g(z).

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