| One Extended Theorem is Applied to Ordinary Differential |
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| 作者姓名： | 赵玲玲 肖修治 |
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| 作者单位： | Department of Mathematics，Wuhan University，Hubei，Wuhan，430072 |
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| 摘 要： | 6l.IntroductionThetheoryofWiman-Valironhasin1Portantapp1icationstodifferentiale`iuations-Wehadextendedittothemeromorpl1icflnctionswhichhavefinitepo1es'J.TheoremALetw(Z)=#isameromorpicfunctionwhichhavefinitepoles,andleto<3,rt},zisapointofthecircie{z:Izl=r},andlf(z)I>N(r,f)v(r)j-1 e',thenex-certthevaluesetofrwhicl1havefinitelogarithmicmeasure,wehaveherev(r)bethecentralindexoff(z),andVl(z)=O{v(r)j-8 '1}.1.Theorem'BLet`o(Z)asTheoremA,ltO<8`<1,zisapointofthecircle{z:lzI=r},andlf(z)l>N(r…
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| 关 键 词： | 常微分方程 WimAn－VAliron理论 整函数 |
One Extended Theorem is Applied to Ordinary Differential |
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| Zhao Lingling , Xiao Xiuzhi.One Extended Theorem is Applied to Ordinary Differential[J].Chinese Quarterly Journal of Mathematics,1997,12(2):99-103. |
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| Authors: | Zhao Lingling Xiao Xiuzhi |
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| Institution: | [1]Department [2]of |
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| Abstract: | In the theory of Wiman-Valiron on entire function,a theorem on the derivatives of entire functions has important applications to differential equations. We had extended the theorem to the meromorphic functions which have finite poles. In this paper we give some applications to linner differential equations and algebraic differential equations. |
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| Keywords: | Wiman-Valiron theory meromorpic function dfferential equations |
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