| β级星像函数类和凸像函数类的扩展问题 |
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| 引用本文： | 傅秀莲.β级星像函数类和凸像函数类的扩展问题[J].数学杂志,2016,36(4):787-793. |
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| 作者姓名： | 傅秀莲 |
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| 作者单位： | 广东工贸职业技术学院计算机系, 广东 广州 510510 |
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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.
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| 关 键 词： | Hadamard 乘积 β级星像函数类 β级凸像函数类 |
| 收稿时间： | 2015/1/24 0:00:00 |
| 修稿时间： | 2015/3/17 0:00:00 |
SUFFICIENT CONDITIONS FOR CLASSES OF β RANK EXPANDED STARLIKENESS AND CONVEXITY FUNCTIONS |
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| FU Xiu-lian.SUFFICIENT CONDITIONS FOR CLASSES OF β RANK EXPANDED STARLIKENESS AND CONVEXITY FUNCTIONS[J].Journal of Mathematics,2016,36(4):787-793. |
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| Authors: | FU Xiu-lian |
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| Institution: | Department of Computer Sciences, Guangdong College of Industry and Commerce, Guangzhou 510510, China |
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| Abstract: | 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]. |
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| Keywords: | Hadamard product starlike of order β convex of order β |
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