| 某些差分多项式的亏量 |
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| 引用本文： | 郑秀敏,陈宗煊.某些差分多项式的亏量[J].数学学报,2011(6):983-992. |
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| 作者姓名： | 郑秀敏 陈宗煊 |
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| 作者单位： | 江西师范大学数学与信息科学学院;华南师范大学数学科学学院; |
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| 基金项目： | 国家自然科学基金(10871076,11026096); 江西省教育厅青年科学基金(GJJ11072) |
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| 摘 要： | Halburd和Korhonen指出研究复域差分的值分布问题对进一步研究复域差分与差分方程具有十分重要的意义.本文得到了关于有限级亚纯函数的差分多项式的亏量为一些结果,其中部分结果可视为微分多项式相应结果的差分模拟.同时,我们在一定条件下给出了经典的Valiron-Mohon'ko定理的一个差分模拟结果,并且作为本文中的一个重要工具出现.这些结果推广了前人已有结果.
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| 关 键 词： | 差分多项式 亚纯函数 有限级 亏量 |
On Deficiencies of some Difference Polynomials |
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| Xiu Min ZHENG Institute of Mathematics , Information Science,Jiangxi Normal University,Nanchang ,P.R.China Zong Xuan CHEN School of Mathematical Sciences,South China Normal University,Guangzhou ,P.R.China.On Deficiencies of some Difference Polynomials[J].Acta Mathematica Sinica,2011(6):983-992. |
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| Authors: | Xiu Min ZHENG Institute of Mathematics Information Science Jiangxi Normal University Nanchang PRChina Zong Xuan CHEN School of Mathematical Sciences South China Normal University Guangzhou PRChina |
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| Institution: | Xiu Min ZHENG Institute of Mathematics and Information Science,Jiangxi Normal University,Nanchang 330022,P.R.China Zong Xuan CHEN School of Mathematical Sciences,South China Normal University,Guangzhou 510631,P.R.China |
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| Abstract: | Halburd and Korhonen posed that the study of the value distribution of complex differences plays an important role in the further study of complex differences and difference equations,which gained renewed interests recently.In this paper,we obtain some results on deficiencies of difference polynomials of mcromorphic functions of finite order,some of which can be viewed as difference analogues of corresponding results of differential polynomials.And under some conditions,a difference analogue of the classica... |
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| Keywords: | Difference polynomial meromorphic function finite order deficiency |
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