Published December 8, 2012 | Version v1

Certain Subclass of k-Uniformly p-Valent Starlike and Convex Functions Associated with Fractional Derivative Operators

  • 1. Department of Mathematics, SCIM, University of Bradford, BD7 1DP, UK.

Description

In this paper, we introduce a new subclass k 􀀀 UCV ;;br /> ;br /> ; (p; ) of k-uniformly p-valent starlike andbr /> convex functions in the open unit disk using a fractional differential operator. We obtain coefficientbr /> estimates, distortion theorems, extermal properties, closure theorems, and inclusion properties.br /> The radii for k-uniformly starlikeness, convexity and close-to-convexity for functions belonging tobr /> this class are also determined./p> p>Note: Due to technical problem the abstract was not uploaded properly. Kindly see the PDF copy for the correct one./p>

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