论文标题

复杂线性延迟分差方程的有限对数顺序meromorormorthic溶液

Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations

论文作者

Dahmani, Abdelkader, Belaïdi, Benharrat

论文摘要

在本文中,我们研究了形式的线性延迟 - 划分方程的Meromorthic解的增长\ begin {qore*} \ sum_ {i = 0}^{n}^{n} \ sum_ {j = 0}^{m}^{m} a_} \ end {equation*}%其中$ a_ {ij}(z)$ $(i = 0,1,\ ldots,n,n,j = 0,1,\ ldots,\ ldots,m,n,m \ in \ mathbb {n})$和$%f(z)$是有限的meromorphic of有限的logarith logarith logarith logarithmic cormic rescor,$ c_ c_ i = i} ,n)$是独特的非零复杂常数。我们将这些结果扩展到Chen和Zheng,Bellaama和Bela \“ıdi的结果)到对数较低顺序。

In this article, we study the growth of meromorphic solutions of linear delay-differential equation of the form \begin{equation*} \sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=F(z), \end{equation*}% where $A_{ij}(z)$ $(i=0,1,\ldots ,n,j=0,1,\ldots ,m,n,m\in \mathbb{N})$ and $% F(z)$ are meromorphic of finite logarithmic order, $c_{i}(i=0,\ldots ,n)$ are distinct non-zero complex constants. We extend those results obtained recently by Chen and Zheng, Bellaama and Bela\"ıdi to the logarithmic lower order.

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