This paper is concerned with the periodicity of entire functions with finite growth order, and some sufficient conditions are given. Let is a transcendental entire function with finite growth order, zero is a Picard exceptional value of , and a given differential monomial of is periodic, then is also periodic. We are also interested in finding the following: let is a transcendental entire function with finite growth order, is a Picard exceptional value of and is a periodic function, then is also a periodic function. These results extend Yang’s conjecture.

中文翻译：

---

有限序整函数的周期性

本文关注具有有限增长阶的整个函数的周期性，并给出了一些充分的条件。令是与有限生长顺序的超越整函数，是零的Picard例外值，和给定的差分单项式的是周期性的，则也是周期性的。我们也有兴趣在寻找如下结果：设是有限生长为了一个超越整函数，是一个皮卡德卓越的价值，并为一个周期函数，那么也是一个周期函数。这些结果扩展了杨的猜想。