| 关于微分多项式的零点和极点 |
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| 引用本文： | 杨力,窦龙.关于微分多项式的零点和极点[J].纺织高校基础科学学报,2003,16(2):111-115. |
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| 作者姓名： | 杨力 窦龙 |
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| 作者单位： | 1. 西安工业学院,数理系,陕西,西安,710032
2. 长安大学,基础课教学研究部,陕西,西安,710064 |
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| 摘 要： | 在著名的Frank—Weissenbom不等式中导数f^(k)能否被替换成一般的线性微分多项式α0f α1f^1 … αkf^(k)，此前一直是一个悬而未决的问题。本文中解决了这一问题，并推广了Flank-WeiSsenbron不等式。例子表明所得定理的条件是必要的。
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| 关 键 词： | 微分多项式 零点 极点 Frank—Weissenbom不等式 亚纯涵数 |
On the zeros and the poles of linear differential polynomials |
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| Abstract.On the zeros and the poles of linear differential polynomials[J].Basic Sciences Journal of Textile Universities,2003,16(2):111-115. |
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| Authors: | Abstract |
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| Abstract: | Previously,it has been an outstanding issue whether the derivative f(k)in Frank-Weissenborn′s inequality can be replaced by a general linear differential polynomial a0f+a1f+…+akf(k) or not.It has been studied and has been completely solved in this paper.One example shows that the condition of the theorem obtained in the present paper is essential. |
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| Keywords: | meromorphic function zero pole differential polynomial |
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