Research ArticleOpen accessPhrase in the titleOn 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 accessPhrase in the titleOn 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 accessPhrase in the titleA 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 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 keywordsAn 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
Research ArticleOpen accessIn the keywordsOn 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 accessIn the abstractNumerical Study of Post-Buckling of Clamped-Pinned Pipe Carrying Fluid Under Different ParametersDahmane Mouloud, Samir Zahaf, Mawhoub Soubih et al.This research aims to calculate the first three natural frequencies and critical velocity of a fluid-conveying pipe are obtained with numerical approach with standard finite element method and this by discretizing the structure wall and internal flow, starting from beam type with two degrees of freedom per node. The determination is done to the vibrational equation from the fluid-structure coupling … …Current Research in Bioinformatics, Vol. 9, Issue 1 · 21 Sep 2020 · 12,076 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn 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 abstractProof of Analytic Extension Theorem for Zeta Function Using Abel Transformation and Euler ProductMbaitiga ZacharieProblem statement: In the prime number the Riemann zeta function is unquestionable and undisputable one of the most important questions in mathematics whose many researchers are still trying to find answer to some unsolved problems such as Riemann Hypothesis. In this study we proposed a new method that proves the analytic extension theorem for zeta function. Approach: Abel transformation was … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,923 accessesView PDFCite