arXiv subjects

Qingcai Zhang

Publications and source records attributed to Qingcai Zhang.

2 recordsLinked to original sources

arXiv2024

Clunie lemma in several complex variables and application in PDEs

Two purposes will be shown in this paper. The first one is to extend the classic Tumura-Clunie type theorem for meromorphic functions of one complex variable to meromorphic functions of several complex variables by using Clunie lemma. The second one is to characterize entire solutions of certain partial differential equations in $\mathbb{C}^{m}$. Our results are extensions and generalizations of the previous theorems by Liao-Ye \cite{Liao-Ye} and Li \cite{Li11}.

math.CV↗

arXiv2017

Entire Solutions of the Systems of Complex Differential-Difference Equations

Using Nevanlinna's value distribution theory and the complex difference theory , the existence of the finite order of the entire solutions of the Fermat type of the complex differential-difference equation and the systems of complex differential-difference equations are investigated, and obtained some results, which extends Liu and Gao's results.

math.CV↗