| 用Ruscheweyh算子定义的解析函数类 |
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| 引用本文： | 李书海,代晋军,汤获. 用Ruscheweyh算子定义的解析函数类[J]. 数学研究及应用, 2009, 29(6): 1095-1101. DOI: 10.3770/j.issn:1000-341X.2009.06.019 |
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| 作者姓名： | 李书海 代晋军 汤获 |
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| 作者单位： | 赤峰学院数学系, 内蒙古 赤峰 024000;华中师范大学数学系, 湖北 武汉 430079;赤峰学院数学系, 内蒙古 赤峰 024000 |
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| 基金项目： | 内蒙古自治区自然科学基金资助项目(No.2009MS0113); 内蒙古高校科研基金资助项目(No. NJzy08150). |
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| 摘 要： | In the present paper a class of extended close-to-convex functions Qk,λ（α,β,ρ） defined by making use of Ruscheweyh derivatives is introduced and studied. We provide integral representations, distortion theorem, radius of close-to-convexity and Hadamard product properties for this class.
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| 关 键 词： | 衍生物 解析函数 定义 Hadamard 积分表示 产品性能 凸函数 定理 |
| 收稿时间： | 2007-10-29 |
| 修稿时间： | 2008-07-07 |
On a Class of Analytic Functions Defined by Ruscheweyh Derivatives |
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| LI Shu Hai,DAI Jin Jun and TANG Huo. On a Class of Analytic Functions Defined by Ruscheweyh Derivatives[J]. Journal of Mathematical Research with Applications, 2009, 29(6): 1095-1101. DOI: 10.3770/j.issn:1000-341X.2009.06.019 |
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| Authors: | LI Shu Hai DAI Jin Jun TANG Huo |
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| Affiliation: | Department of Mathematics, Chifeng College, Inner Mongolian 024000, China;Department of Mathematics, Central China Normal University, Hubei 430079, China;Department of Mathematics, Chifeng College, Inner Mongolian 024000, China |
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| Abstract: | In the present paper a class of extended close-to-convex functions $Q_{k,lambda}(alpha,beta,rho)$ defined by making use of Ruscheweyh derivatives is introduced and studied. We provide integral representations, distortion theorem, radius of close-to-convexity and Hadamard product properties for this class. |
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| Keywords: | Ruscheweyh derivatives close-to-convex function Hadamard product. |
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