| 微分多项式的值分布 |
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| 引用本文： | 高凌云.微分多项式的值分布[J].数学杂志,2003,23(1):59-63. |
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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： | Supported by National Natural Science Foundation of China(19971052). |
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| 摘 要： | 文2-6]讨论了亚纯函数或代数体函数的微分多项式ω‘(z)-αω^n(z)及ω（z)ω^n(z)的例外值问题。本文利用代数体函数的Nevanlinna值分布理论方法，研究了代数体函数的微分多项式P（ω^(k)(z))-aΠk=1^s(ω(z)-ak)^pk,及a(w^(k)(z)^tw^n(t)的Picard值问题，推广了他们的结果。
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| 关 键 词： | 代数体函数 值分布 微分多项式 亚纯函数 |
VALUE DISTRIBUTION OF DIFFERENTLAL POLYNOMIALS |
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| GAO Ling-yun.VALUE DISTRIBUTION OF DIFFERENTLAL POLYNOMIALS[J].Journal of Mathematics,2003,23(1):59-63. |
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| Authors: | GAO Ling-yun |
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| Abstract: | Some authors had investigated the problem of exceptional value of differential polynomials w'(z)-aw(?)(z) and w'(z)w(?)(z) of meromorphic (or algebroid) functions in the paper 2-6].Applying the techniques from Nevanlinna theory of value distribution theory of algebroid functions,we deal with the problem of Picard values of differential polynomials P and of algebroid functions, and generalize their results. |
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| Keywords: | algebroid functions the vale distribution differential polynomials |
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