Research ArticleOpen accessPhrase in the titleOn Parametric p-Valent Meromorphic FunctionsPoonam SharmaProblem statement: In this research, we studied parametric p-valent meromorphic functions Pαf by considering two classes Mαp (β) and Mαp (λ,A) . Approach: With the help of Jack’s Lemma an inclusion relation for the class Mαp was obtained and it is shown that this class is closed by an integral operator Ic. Results: A subordination result for the class Mαp … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 7,033 accessesView PDFCite
Research ArticleOpen accessPhrase 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 accessPhrase 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 abstractSome Properties of Certain Subclass of Meromorphically Multivalent Functions Defined By Linear OperatorF. Ghanim, M. DarusProblem statement: By means of the Hadamard product (or convolution), a linear operator was introduced. This operator was motivated by many authors namely Srivastava, Swaminathan, Owa and many others. The operator was indeed needed to create new ideas in the area of geometric function theory. Approach: The linear operator of meromorphic p-valent functions was proposed and defined. The preliminary concept … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,342 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordA 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