| 某类均差分的值分布 |
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| 引用本文： | 陈美茹,陈宗煊.某类均差分的值分布[J].数学学报,2012(5):855-860. |
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| 作者姓名： | 陈美茹 陈宗煊 |
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| 作者单位： | 华南师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金资助项目(11171119) |
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| 摘 要： | 研究了某类均差分的值分布问题.令n,m∈N,n>m,c∈C\{0},f(z)是超越亚纯函数,P(z)为非零多项式.一系列关于均差分F(z)=(Δ_c~nf(z))/(Δ_c~mf(z))和F~*(z)=(Δ_c~nf(z))/(Δ_c~mf(z))-P(z)的零点存在性的结果被证明.
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| 关 键 词： | 均差分 零点 值分布 |
Value Distribution of Some Divided Difference |
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| Mei Ru CHEN Zong,Xuan.Value Distribution of Some Divided Difference[J].Acta Mathematica Sinica,2012(5):855-860. |
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| Authors: | Mei Ru CHEN Zong Xuan |
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| Institution: | CHEN School of Mathematical Sciences,South China Normal University, Guangzhou 510631,P.R.China |
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| Abstract: | We investigate value distribution problems of some difference expressions. Let n,m∈N,n>m,c∈C\{0},f(z) be a transcendental meromorphic function,P(z) be a non-zero polynomial.A number of results are proved concerning the existences of zeros of F(z) =Δ_c~nf(z)/Δ_c~mf(z) and F~*(z) =Δ_c~nf(z)/Δ_c~mf(z)- P(z). |
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| Keywords: | divided difference zeros value distribution |
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