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On k-uniformly close-to-convex functions of complex order
Authors:Khalida Inayat Noor   Mohammad Arif  Wasim Ul-Haq  
Affiliation:aMathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
Abstract:
In this paper, we define and study some subclasses of analytic functions by using fractional derivative operator. Some interesting properties, coefficients problems and inclusion results of these classes are investigated. It is also shown that these classes are closed under convolution with convex functions and some applications are given.
Keywords:k-Uniformly close-to-convex functions of complex order   Conic domains   Fractional derivative operator   Convolution   Subordination
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