Research ArticleOpen accessIn the author namesOn New Bijective Convolution Operator Acting for Analytic FunctionsOqlah Al-Refai, Maslina DarusProblem statement: We introduced a new bijective convolution linear operator defined on the class of normalized analytic functions. This operator was motivated by many researchers namely Srivastava, Owa, Ruscheweyh and many others. The operator was essential to obtain new classes of analytic functions. Approach: Simple technique of Ruscheweyh was used in our preliminary approach to create new bijective convolution linear … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 8,965 accessesView PDFCite
Research ArticleOpen accessIn the author namesOn Cesáro means for Fox-Wright functionsMaslina Darus, Rabha W. IbrahimThe polynomial approximants which retain the zero free property of a given analytic function involving fox-wright function in the unit disk U: = {z: |z|<1} is found. The convolution methods of a geometric function that the Cesáro means of order μ retains the zero free property of the derivatives of bounded convex functions in the unit disk are used. Other … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 6,906 accessesView PDFCite
Research ArticleOpen accessIn the author namesGeneralization of Differential OperatorMaslina Darus, Rabha W. IbrahimThe main objective of this study was to generalize a differential operator. The generalized differential operator reduced to many known operators studied by various authors. New classes containing this generalized operator were studied and characterization of these classes was obtained. Further, subordination and superordination results involving this operator were studied and obtained the sandwich theorem. …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 6,945 accessesView PDFCite
Research ArticleOpen accessIn the author namesSome Subordination Results Associated With Certain Subclass of Analytic Meromorphic FunctionsF. Ghanim, M. DarusFor functions belonging to each of the subclasses S*w (β) and C*w (β) of normalized analytic functions in the open unit disk D, which are investigated in this paper when 0≤β<1, the authors derive several subordination results involving the Hadamard product (or convolution) of the associated functions. A number of interesting consequences of some of these subordination results are also … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,879 accessesView PDFCite
Research ArticleOpen accessIn the author namesAn Operator Defined by Convolution Involving the Polylogarithms FunctionsK. Al Shaqsi, M. DarusWe define an operator on the class A of analytic functions in the unit disk U = {z :|z | < 1} involving the polylogarithms functions and introduce certain new subclasses of A using this operator. Some inclusion results, covering theorem, coefficients inequalities, and several other interesting properties of these classes are obtained. …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,450 accessesView PDFCite