Estimates of N-function and m-function of meromorphic solutions of systems of complex difference equations

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• 作者：Gao Lingyun ^{tgaoly@jnu.edu.cn}
• 关键词：meromorphic solution ; proximity function ; counting function ; difference equations
• 刊名：Acta Mathematica Scientia
• 出版年：2012
• 期刊代码：1_02529602
• 类别：mt
• 出版时间：July, 2012
• 卷：32
• 期：4
• 页码：1495-1502
• 文件大小：269 K

摘要

We apply Nevanlinna theory of the value distribution of meromorphic functions to study the properties of Nevanlinna counting function and proximity function of meromorphic solutions of a type of systems of complex difference equations. Our results can give estimates on the proximity function and the counting function of solutions of systems of difference equations. This implies that solutions have a relatively large number of poles. It extend some result concerning difference equations to the systems of difference equations.