Crossing Malmquist Systems with Certain Types

Pub Date : 2023-12-28 DOI:10.3103/s1068362323060080

F. N. Wang, K. Liu

引用次数: 0

Abstract

In this paper, we will present the expression of meromorphic solutions on the crossing differential or difference Malmquist systems of certain types using Nevanlinna theory. For instance, we consider the admissible meromorphic solutions of the crossing differential Malmquist system

$$\begin{cases}f^{\prime}_{1}(z)=\frac{a_{1}(z)f_{2}(z)+a_{0}(z)}{f_{2}(z)+d_{1}(z)},\\ f^{\prime}_{2}(z)=\frac{a_{2}(z)f_{1}(z)+b_{0}(z)}{f_{1}(z)+d_{2}(z)},\end{cases}$$

where $a_{1}(z)d_{1}(z)\not\equiv a_{0}(z)$ and $a_{2}(z)d_{2}(z)\not\equiv b_{0}(z)$.

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与某些类型的马尔奎斯特系统交叉

摘要在本文中，我们将利用 Nevanlinna 理论来介绍某些类型的交叉微分或差分 Malmquist 系统上的并形解的表达式。例如，我们考虑了交叉微分 Malmquist 系统$$begin{cases}f^{\prime}_{1}(z)=\frac{a_{1}(z)f_{2}(z)+a_{0}(z)}{f_{2}(z)+d_{1}(z)}的可容许分形解、\\ f^{prime}_{2}(z)=frac{a_{2}(z)f_{1}(z)+b_{0}(z)}{f_{1}(z)+d_{2}(z)},\end{cases}$$ 其中（a_{1}(z)d_{1}(z)\not\equiv a_{0}(z)）和（a_{2}(z)d_{2}(z)\not\equiv b_{0}(z)）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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