Research ArticleOpen accessIn the keywordsOn 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 accessIn the abstractAccurate Orthogonal Circular Moment Invariants of Gray-Level ImagesKhalid Mohamed HosnyProblem statement: Orthogonal circular moments of gray level images such as Zernike, pseudo Zernike and Fourier-Mellin moments are widely used in different applications of image processing, pattern recognition and computer vision. Computational processes of these moments and their translation and scale invariants still an open area of research. Approach: a unified methodology is presented for efficient and accurate computation of … …Journal of Computer Science, Vol. 7, Issue 5 · 7 May 2011 · 7,787 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Certain Classes of Multivalent Analytic FunctionsRabha W. Ibrahim, Maslina DarusProblem statement: By means of the Hadamard product (or convolution), new class of function of power order was formed. This class was motivated by many authors namely MacGregor, Umezawa, Darus and Ibrahim and many others. The class indeed extended in the form of integral operator due to the work of Bernardi, Libera and Livingston. Approach: A new class of multivalent … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,438 accessesView PDFCite
Research ArticleOpen accessIn the abstractDrug Susceptibility and Molecular Epidemiology of Pseudomonas aeruginosa Isolated in a Burn UnitHassan Salimi, Parviz Owlia, Bagher Yakhchali, Abdolaziz Rastegar LariProblem statement: Pseudomonas aeruginosa is an opportunistic pathogen that still develops life-threatening infections in patients with immunological system defects, like burn patients, especially in developing countries. Since this bacterium is naturally resistant to many drugs and is able to get resistance to all effective antibiotics, the infection with this organism is particularly problematic condition for patients. This study was design … …American Journal of Infectious Diseases, Vol. 5, Issue 4 · 31 Dec 2009 · 6,992 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn 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 abstractSome 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 abstractAn 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