Articles

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

  • Rabha W. IBRAHIM ,
  • Janusz SOK′O L
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  • 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 date: 2013-07-22

  Revised date: 2013-10-08

  Online published: 2014-09-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(14)60093-X

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