| 线性差分多项式的值分布 |
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| 引用本文： | 陈湘,吴昭君. 线性差分多项式的值分布[J]. 数学的实践与认识, 2021, 0(3): 186-191 |
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| 作者姓名： | 陈湘 吴昭君 |
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| 作者单位： | 湖北科技学院数学与统计学院 |
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| 基金项目： | 国家自然科学基金(11201395);湖北省教育厅自然科学研究重点项目(D20182801)。 |
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| 摘 要： | 利用亚纯函数Nevanlinna理论的差分对应物,研究了亚纯函数的线性差分多项式的值分布,建立了具有最大亏量和的亚纯函数与其差分多项式的特征函数的关系,所得结果推广了现有的一些相关结果.
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| 关 键 词： | 亏量 差分 差分多项式 特征函数 |
Value Distribution of Linear Difference Polynomials |
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| CHEN Xiang,WU Zhao-jun. Value Distribution of Linear Difference Polynomials[J]. Mathematics in Practice and Theory, 2021, 0(3): 186-191 |
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| Authors: | CHEN Xiang WU Zhao-jun |
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| Affiliation: | (School of Mathematics and Statistics,Hubei University of Science and Technology,Xianning 437100,China) |
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| Abstract: | Using the counterpart of the lemma on the logarithmic derivative,the authors studied value distribution of linear difference polynomials of meromorphic functions.They establish the connection between the characteristics meromorphic function with maximal deficiency sum and that of linear difference polynomials.The obtained results generalize some related results. |
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| Keywords: | deficiency difference difference polynomial characteristic function |
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