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ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR

ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR
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摘要 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. 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.
作者 Rabha W.IBRAHIM Janusz SOKóL
机构地区 Institute of Mathematical Sciences Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 2014年第5期1417-1426,共10页 数学物理学报（B辑英文版）
关键词 analytic function fractional calculus fractional differential operator univalentfunction unit disk bounded turning function analytic function fractional calculus fractional differential operator univalentfunction unit disk bounded turning function
分类号 O175 [理学—基础数学]
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Acta Mathematica Scientia
2014年 第5期

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