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有限级超越整函数的差分多项式的值分布
  • ISSN号：1000-8314
  • 期刊名称：《数学年刊：A辑》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：江西师范大学数学与信息科学学院,江西南昌330022
  • 相关基金：国家自然科学基金项目（11301233）; 江西省自然科学基金项目（20151BAB201004）
作者： 郑秀敏, 吴顺周
关键词： 单位圆, 亚纯函数系数, 正则级, 线性无关亚纯解, Unit disc, meromorphic coefficient, regular order, linearly independent meromorphic solution
中文摘要：

研究单位圆内一类亚纯函数系数高阶非齐次线性微分方程,当方程系数A_0（z）起支配作用,且具有无限正则级,同时满足一定极点条件时,得到方程任意两个线性无关亚纯解的不同零点收敛指数的估计,所得结果推广了复平面上的相应结论。

英文摘要：

Several kinds of high order non-homogeneous linear differential equations in the unit disc were investigated.When A_0（z）is the dominating coefficient,has infinite regular order,and satisfies some conditions on its poles,the estimates on the convergence exponent of distinct zeros of any two linearly independent meromorphic solutions of the involved equation were obtained.These results generalize the corresponding results in the complex plane.

同期刊论文项目
C上微-差分多项式和微-差分方程亚纯解的解析性质
期刊论文 6
复域差分, 差分方程和微分方程的研究
期刊论文 126 著作 1
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有穷级整函数的差分多项式的性质
某类均差分的值分布
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期刊信息
  • 《数学年刊：A辑》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:复旦大学
  • 主编：李大潜
  • 地址：上海市长乐路746号
  • 邮编：200040
  • 邮箱：edcam@fudan.edu.cn
  • 电话：021-65642338
  • 国际标准刊号：ISSN：1000-8314
  • 国内统一刊号：ISSN：31-1328/O1
  • 邮发代号:4-298
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4264