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由线性算子定义的多叶函数的新子类
引用本文:杨静宇,李书海. 由线性算子定义的多叶函数的新子类[J]. 河南师范大学学报(自然科学版), 2012, 40(2): 1-7
作者姓名:杨静宇  李书海
作者单位:1. 大连理工大学数学科学学院,辽宁大连116024;赤峰学院数学与统计学院,内蒙古赤峰024001
2. 赤峰学院数学与统计学院,内蒙古赤峰,024001
摘    要:运用线性算子和从属关系定义了p-叶解析函数的一个新子类.讨论了该类的系数不等式,偏差定理,δ-邻域性质,卷积性质,推广了某些作者的相关结果.

关 键 词:线性算子  解析函数  系数不等式  邻域  卷积  分数次积分算子

New Certain Subclass of Multivalent Functions Defined by Linear Operators
YANG Jing-yu , LI Shu-hai. New Certain Subclass of Multivalent Functions Defined by Linear Operators[J]. Journal of Henan Normal University(Natural Science), 2012, 40(2): 1-7
Authors:YANG Jing-yu    LI Shu-hai
Affiliation:1.School of Mathematical Sciences,Dalian University of Technology,Daliang 116024,China; 2.School of Mathematics and Statistics,Chifeng University,Chifeng,Chifeng 024001,China)
Abstract:In this paper a new subclass of p-valent analytic functions is defined by use of a certain linear operator and subordinate condition.The research provides coefficient inequalities,distortion theorem,properties of neighborhood and convolution properties of this subclass,and the results presented here would provide extensions of those given by other authors.
Keywords:linear operator  analytic function  coefficient inequalities  neighborhood of analytic function  hadarmard product  fractional calculus operators
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