ON THE GROWTH AND VALUE DISTRIBUTION OF ANALYTIC SOLUTIONS OF A CLASS OF ALGEBRAIC DIFFERENTIAL EQUATIONS |
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作者姓名: | 何育赞 高仕安 |
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作者单位: | Enst. of Math.,Academia Sinica,Beijing,China,Dept. of Math.,South China Normal University,Guangzhou,China |
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基金项目: | Projects supported by the Science Fund of the Academy of Sciences. |
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摘 要: | In this paper, we show that the growth of meromorphic or algebroidal solutions of some algebraic differential equations can be estimated in terms of the growth of the coefficients in tho equation and the counting functions of some value peints. We point simulteneously out that the growth of algebroid solutions of certain class of differential equations can be estimated using only the growth of coefficients in the equation, and give an example which is not belonging to this class to show that the above conclusion is not true.
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