On a Class of Analytic Functions Defined by Ruscheweyh Derivatives
Received:October 29, 2007  Revised:July 07, 2008
Key Words: Ruscheweyh derivatives   close-to-convex function   Hadamard product.  
Fund Project:the Natural Science Foundation of Inner Mongolia (No.2009MS0113); Higher School Research Foundation of Inner Mongolia (No.NJzy08510).
Author NameAffiliation
LI Shu Hai Department of Mathematics, Chifeng College, Inner Mongolian 024000, China 
DAI Jin Jun Department of Mathematics, Central China Normal University, Hubei 430079, China 
TANG Huo 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.
Citation:
DOI:10.3770/j.issn:1000-341X.2009.06.020
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