亚纯多叶函数某一子类的局部和 |
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引用本文: | 周伟.亚纯多叶函数某一子类的局部和[J].佳木斯工学院学报,2010(6):917-919. |
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作者姓名: | 周伟 |
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作者单位: | 淮阴师范学院数学科学学院,江苏淮安223300 |
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摘 要: | 在去心单位圆盘E={z:0〈|z|〈1}内,利用线性算子Lp(a,c)定义亚纯多叶函数的子类Ωp(a,c;A,B)基础上,定义了亚纯多叶函数的邻域概念,研究了函数f(z)=z-p+∑∞k=1akzk-p在其邻域下的从属关系和局部和性质.
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关 键 词: | 亚纯多叶函数 邻域 局部和 |
A Subclass of Meromorphic Multivalent Functions of Local Sums |
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Authors: | ZHOU Wei |
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Affiliation: | ZHOU Wei(College of Mathematics,Huaiyin Normal University,Huaian 223300,China) |
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Abstract: | Making use of a linear operator Lp(a,c) we define a subclass Ωp(a,c;A,B) of meromorphic multivalent functions based on the unit disk E={z:0|z|1},the concept of neighborhoods of meromorphic multivalent function are defined,under the neighborhood,properties of local sums and subordination of the function f(z)=z-p+∑∞k=1akzk-p are studied. |
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Keywords: | meromorphic multivalent functions neighborhoods local sums |
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