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β级星像函数类和凸像函数类的扩展问题

SUFFICIENT CONDITIONS FOR CLASSES OF β RANK EXPANDED STARLIKENESS AND CONVEXITY FUNCTIONS
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摘要 本文利用文[2,3]的引理和算子L(a,c)f(z)的一些性质.结合Hadamard乘积,研究了算子L(a,c)f(z),获得了L(a,c)f(z)∈S*(β)和L(a,c)f(z)∈K(β)的充分条件,推广了文[2,3]的相关结论. In this article,we study the operator L(a,c)f(z) combining Hadamard products.Using lemmas in [2,3] and some qualities of operator L(a,c)f(z),we obtain sufficient conditions for L(a,c)f(z) ∈ S*(β) and L(a,c)f(z) ∈ K(β),which generalizes the related results in [2,3].
作者 傅秀莲
出处 《数学杂志》 CSCD 北大核心 2016年第4期787-793,共7页 Journal of Mathematics
关键词 HADAMARD乘积 β级星像函数类 β级凸像函数类 Hadamard product starlike of order β convex of order β
作者简介 傅秀莲(1979-),女,广东广州,副教授,主要研究方向:复分析及其应用.
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