ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR |
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| Authors: | Rabha WIBRAHIM JanuszSOK′OL |
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| Institution: | 1. Institute of Mathematical Sciences, University Malaya, 50603, Malaysia
2. Department of Mathematics, Rzesz′ow University of Technology, ul. W. Pola 2, 35-959 Rzesz′ow, Poland |
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| Abstract: | Making use of the fractional differential operator, we impose and study a new class of analytic functions in the unit disk(type fractional differential equation). The main object of this paper is to investigate inclusion relations, coefficient bound for this class.Moreover, we discuss some geometric properties of the fractional differential operator. |
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| Keywords: | analytic function fractional calculus fractional differential operator univalent function unit disk bounded turning function |
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