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

XiaoHuang Huang

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arXiv · 2010.04562

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

XiaoHuang Huang

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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 $f(z)\equiv g(z)$.

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XiaoHuang Huang. 2020-10-09. Unicity of Entire Functions Concerning their $q-$ Derivatives-Difference-Polynomials. https://arxiv.org/abs/2010.04562

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