Scholarlink

<p>The aim of this article is to consider the meromorphic solutions <i>f</i> of a class of nonlinear higher order partial differential-difference equations concerning total derivative in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {C}^{m}\)</EquationSource> </InlineEquation>, and some value distribution properties of <i>f</i> are obtained under more general growth conditions. Furthermore, we show such solutions <i>f</i> are uniquely determined by their poles and two distinct small functions counting multiplicities, which can be seen as the improvement and extension of previous results.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Meromorphic solutions of a class of partial differential-difference equations in several variables

  • 期刊论文

  • 发表日期：

    2026年5月8日

查看全文
  • Heqing Sun,
  • Yezhou Li

摘要

The aim of this article is to consider the meromorphic solutions f of a class of nonlinear higher order partial differential-difference equations concerning total derivative in \(\mathbb {C}^{m}\) , and some value distribution properties of f are obtained under more general growth conditions. Furthermore, we show such solutions f are uniquely determined by their poles and two distinct small functions counting multiplicities, which can be seen as the improvement and extension of previous results.