| 推广的非 Bazilevic函数的beta 阶星像性 |
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| 引用本文： | 刘名生.推广的非 Bazilevic函数的beta 阶星像性[J].华南师范大学学报(自然科学版),2013,45(1). |
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| 作者姓名： | 刘名生 |
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| 作者单位： | 1.华南师范大学 |
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| 摘 要： | 建立了2个微分从属引理，应用微分从属和微分不等式的方法，得到了非 Bazilevi\u{c}函数是$\beta$ 阶星像函数和强星像函数的一些充分条件.
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| 关 键 词： | 解析函数 星像函数 强拟星像函数 从属，非 Bazilevic函数. |
| 收稿时间： | 2011-12-31 |
Starlikeness of order beta for generalized non-Bazilevic functions |
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| Abstract: | The starlikeness of order $\beta$ and strongly starlikeness for generalized non-Bazilevi\u{c} functions are investigated. Firstly, two lemmas of differential subordination are established. By applying differential subordination and differential inequality, some sufficient conditions are obtained for validating that generalized class of non-Bazilevi\u{c} functions are a subclass of starlike functions of order $\beta$ or strongly starlike functions of order $\gamma$. |
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