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奇异点附近的复微分方程解的增长性与系数下级的关系

On Relationship between Lower-order of Coefficients and Growth of Solutions of Complex Differential Equations near a Singular Point
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摘要 We investigate the growth of solutions of the following complex linear di er-ential equation f″+A(z)f′+B(z)f=0,where A(z)and B(z)are analytic functions in -C-{z0},z0∈C.Some estimations of lower bounded of growth of solutions of the di erential equation are obtained by using the concept of lower order.
作者 刘元竹 龙见仁 曾三桂 LIU Yuan-zhu;LONG Jian-ren;ZENG San-gui(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China)
机构地区 School of Mathematical Sciences
出处 《Chinese Quarterly Journal of Mathematics》 2020年第2期163-170,共8页 数学季刊（英文版）
基金 National Natural Science Foundation of China(11861023) the Foundation of Science and Technology project of Guizhou Province of China([2018]5769-05)。
关键词 Complex di erential equation Lower-order of growth Lower-type Analytic function Near a singular point
分类号 O174.52 [理学—基础数学]
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共引文献28

Chinese Quarterly Journal of Mathematics
2020年 第2期

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