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用Ruscheweyh算子定义的解析函数类
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].数学研究与评论,2009,29(6):1095-1101.
作者姓名:李书海  代晋军  汤获
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
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).
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.

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 0:00:00
修稿时间:7/7/2008 12:00:00 AM

On a Class of Analytic Functions Defined by Ruscheweyh Derivatives
LI Shu Hai,DAI Jin Jun and TANG Huo.On a Class of Analytic Functions Defined by Ruscheweyh Derivatives[J].Journal of Mathematical Research and Exposition,2009,29(6):1095-1101.
Authors:LI Shu Hai  DAI Jin Jun and TANG Huo
Institution: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
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.
Keywords:Ruscheweyh derivatives  close-to-convex function  Hadamard product  
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