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.
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Fund Project:the Natural Science Foundation of Inner Mongolia (No.2009MS0113); Higher School Research Foundation of Inner Mongolia (No.NJzy08510). |
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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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