| ON HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF FIRST-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS |
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| 作者姓名： | 李叶舟 冯绍继 |
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| 作者单位： | Li Yezhou School of Science，Beijing Unicersity of Posts and Tele Communications，Beijing 100876，China Feng Shaoji Academy of Mathematics and System Sctences，Chinese Academy of Sciences，Beijing 100080，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China |
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| 摘 要： | IllltllodOCt1Oll In this paper，the standard notations of＊theons Ne、nllnna clieory will be emp1Oyed．hand fare n。romorPhlc flnctlons·Let A（h）and A（可）denote resPectively the。Ponents ofconvergenceof tile zeros and the poles of h．Let n（r，＿，f）del。ote the。umber of dlst．ct roots of f（z）＝w。ill｛zHzl＜，｝．As we know，in light ofNe侧llnlla theors［’］，the rate ofgrowth ofmeromorPhlcfunction h can be characterized by order。（h）of h，which Is defined as 1＿＿＋，，，I＿…
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| 收稿时间： | 21 January 2000 |
ON HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF FIRST-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS |
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| Li Yezhou School of Science,Beijing Unicersity of Posts and Tele Communications,Beijing ,China Feng Shaoji Academy of Mathematics and System Sctences,Chinese Academy of Sciences,Beijing ,China.ON HYPER-ORDER OF MEROMORPHIC SOLUTIONS OF FIRST-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2001,21(3):383-390. |
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| Authors: | Li Yezhou School of Science Beijing Unicersity of Posts and Tele Communications Beijing China Feng Shaoji Academy of Mathematics and System Sctences Chinese Academy of Sciences Beijing China |
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| Institution: | Li Yezhou School of Science,Beijing Unicersity of Posts and Tele Communications,Beijing 100876,China Feng Shaoji Academy of Mathematics and System Sctences,Chinese Academy of Sciences,Beijing 100080,China |
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| Abstract: | The authors give a precise estimate of the hyper-order of meromorphic solu- tions of general first-order algebraic differential equations. |
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| Keywords: | Algebraic differential equation meromorphic solution hyper-order zero pole |
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