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

doi:10.1016/S0252-9602(14)60093-X

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1417-1426.doi: 10.1016/S0252-9602(14)60093-X

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

Rabha W. IBRAHIM|Janusz SOK´O L

Institute of Mathematical Sciences, University Malaya, 50603, Malaysia； Department of Mathematics, Rzesz´ow University of Technology, ul. W. Pola 2, 35-959 Rzesz´ow, Poland

收稿日期:2013-07-22 修回日期:2013-10-08 出版日期:2014-09-20 发布日期:2014-09-20

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

Rabha W. IBRAHIM|Janusz SOK´O L

Institute of Mathematical Sciences, University Malaya, 50603, Malaysia； Department of Mathematics, Rzesz´ow University of Technology, ul. W. Pola 2, 35-959 Rzesz´ow, Poland

Received:2013-07-22 Revised:2013-10-08 Online:2014-09-20 Published:2014-09-20

摘要/Abstract

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.

关键词: analytic function, fractional calculus, fractional differential operator, univalent function, unit disk, bounded turning function

Abstract:

Key words: analytic function, fractional calculus, fractional differential operator, univalent function, unit disk, bounded turning function

中图分类号:

30C45

Rabha W. IBRAHIM, Janusz SOK′O L. ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR[J]. 数学物理学报(英文版), 2014, 34(5): 1417-1426.

Rabha W. IBRAHIM, Janusz SOK′O L. ON A NEW CLASS OF ANALYTIC FUNCTION DERIVED BY A FRACTIONAL DIFFERENTIAL OPERATOR[J]. Acta mathematica scientia,Series B, 2014, 34(5): 1417-1426.

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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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