Research ArticleOpen accessEvery word in the titleOn Applications of Differential Subordination and Differential OperatorM. Darus, R. W. IbrahimProblem statement: The object of this study is to obtain certain differential subordinations. Approach: Here we use known generalized differential operator given by Darus and Ibrahim and well known lemmas given by Miller and Mocanu. Results: We will pose several results on subordination theorems. Conclusion: Many other results can be obtained by using the operator defined. …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 1 Mar 2012 · 7,002 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn a Univalent Class Involving Differential Subordinations with ApplicationsR. W. Ibrahim, M. DarusProblem statement: By means of the Hadamard product (or convolution), new class of analytic functions was formed. This class was motivated by many authors. Approach: By using the concept of the subordination and superordination, we define certain differential inequalities and first order differential subordinations. Results: As their applications, we obtain some sufficient conditions for univalence which generalize and refine some … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,532 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSufficient Conditions for Subordination of Meromorphic FunctionsRabha W. Ibrahim, Maslina DarusProblem statement: The problem of giving sufficient condition for certain class of meromorphic functions defined as differential operator was studied. Approach: The differential operator of meromorphic functions containing fractional power was proposed and defined. The preliminary concept of subordination was introduced to give sharp proofs for certain sufficient conditions of the differential operator aforementioned. Results: Having new operator, subordination theorems … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,208 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSome 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 keywordsA Certain Subclass of Meromorphically Multivalent Analytic Functions with Negative CoefficientsM.Z. Ahmad, Hiba F. Al-Janaby, Rabha W. IbrahimThe paper aims to introduce a certain subclass S*g(A,B,α,p,j) of the class Σ*(p) of meromorphically multivalent functions with negative coefficients, defined by using the definitions of Hadamard product and subordination for two functions belong to the class Σ*(p). We first investigate the geometric characterization property, giving the coefficient estimates for functions in the class S*g(A,B,α,p,j). We also obtain the distortion … …American Journal of Applied Sciences, Vol. 12, Issue 9 · 2 Oct 2015 · 6,349 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn 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 keywordsGeneralization 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 keywordsTHE ROLE OF WOMEN IN THE OIL INDUSTRYCharles GyanThis study was conducted to ascertain the contribution of women in the oil industry. It also looked at the opportunities available and the barriers that prevent women from attaining higher heights in the oil industry. Findings from the study show several factors (institutional, cultural, social and personal) that prevent women from being employed in the oil industry. The study has … …Journal of Social Sciences, Vol. 9, Issue 3 · 23 Sep 2013 · 7,989 accessesView PDFCite