| 一类复差分方程组的亚纯解 |
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| 引用本文： | 高凌云.一类复差分方程组的亚纯解[J].数学学报,2016,59(3):363-368. |
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| 作者姓名： | 高凌云 |
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| 作者单位： | 暨南大学数学系 广州 510632 |
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| 基金项目： | 国家自然科学基金资助项目(10471065); 广东省自然科学基金资助项目(04010474) |
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| 摘 要： | 许多作者研究了复差分方程解的存在性及增长性问题,得到了较多理想的结果.本文利用亚纯函数Nevanlinna值分布理论,研究了一类复高阶非线性差分方程解的表达式问题,将复差分方程的一结果推广至复差分方程组中.
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| 关 键 词： | 表达式 复差分方程组 亚纯函数 |
Meromorphic Solutions of a Type of System of Complex Difference Equations |
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| Ling Yun GAO.Meromorphic Solutions of a Type of System of Complex Difference Equations[J].Acta Mathematica Sinica,2016,59(3):363-368. |
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| Authors: | Ling Yun GAO |
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| Institution: | Department of Mathematics, Jinan University, Guangzhou 510632, P. R. China |
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| Abstract: | Many authors discussed the problem of existence and growth of complex difference equations,and obtained some intererting results.Using Nevanlinna theory of the value distribution of meromorphic functions,we investigate the expression of meromorphic solutions of a type of system of comples difference equations,and extend some results of solutions of complex difference equations to systems of complex difference equations. |
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| Keywords: | expression systems of complex difference equations meromorphic solution |
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