论文标题
有关其$ q- $衍生词 - 差异性polynomials的整个功能的统一功能
Unicity of Entire Functions Concerning their $q-$ Derivatives-Difference-Polynomials
论文作者
论文摘要
在本文中,我们研究了有关其$ q-$ shifts和$ k-$ th衍生品的整个功能的统一性,并证明:让$ f(z)$是零订单的先验全部函数,而$ g(z)$定义为(1.1)。令$ a(z),b(z)$为$ f(z)$的两个不同的小功能。如果$ f(z)$和$ g(z)$ share $ a(z),b(z)$ im,则$ f(z)\ equiv g(z)$。
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 $f(z)\equiv g(z)$.