Results 31 to 40 of about 182 (132)
Axioms, 2023 In this paper, the author combines the geometric theory of analytic function regarding differential superordination and subordination with fuzzy theory for the convolution product of Ruscheweyh derivative and multiplier transformation.
Alina Alb Lupaş
doaj +1 more source
Wasit Journal for Pure Sciences, 2023 : In the current paper, we obtain sandwich theorems for univalent functions by using some of the finding of Third-order differential subordination and superordination for univalent functions defined by a new operator .
Ali Salamah
doaj +1 more source
Differential superordination defined by Ruscheweyh derivative
Hokkaido Mathematical Journal, 2007 Suppose that \(f\), \(q\) are analytic in the unit disk, \(n\) is a nonnegative integer and \(D^nf\) is defined by the convolution \(D^n f(z)= f(z)* z(1-z)^{-n-1}\). Following the ideas of \textit{S. S. Miller} and \textit{P. T. Mocanu} [Complex Variables, Theory Appl. 48, No.
OROS, Gh., OROS, Georgia Irina
openaire +2 more sources
Abstract and Applied Analysis, 2014 There are many articles in the literature dealing with the first-order and the second-order differential subordination and superordination problems for analytic functions in the unit disk, but only a few articles are dealing with the above problems in ...
Huo Tang +3 more
doaj +1 more source
Axioms, 2023 Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w:w<1 and w∈₵, and satisfy its specific relationship to derive the subordination, superordination, and sandwich results for this operator by using properties of subordination and superordination concepts.
Luminita-Ioana Cotîrla +1 more
openaire +2 more sources
Fractal and Fractional, 2021 The current study acts on the notion of quantum calculus together with a symmetric differential operator joining a special class of meromorphic multivalent functions in the puncher unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
doaj +1 more source
Fractional differential superordination
Tamkang Journal of Mathematics, 2014 The notion of differential superordination was introduced by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination. Recently, in Tamkang J. Math.[7], the author have introduced the notion of fractional differential subordination.
openaire +2 more sources
Introducing the Third-Order Fuzzy Superordination Concept and Related Results
MathematicsThird-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic.
Georgia Irina Oros +2 more
doaj +1 more source
CLASSES OF FIRST-ORDER DIFFERENTIAL SUPERORDINATIONS
Demonstratio Mathematica, 2002 Let \(U\) denote the unit disc, let \(\varphi: C^2\to C\) be analytic in a domain and let \(p\) be an analytic function in \(U\) such that \(\varphi (p(z),zp'(z))\) is univalent in \(U\) and \(p\) satisfies \(h(z)\prec \varphi (p(z), zp'(z))\). `\(\prec\)' denotes the usual differential subordination.
openaire +2 more sources
Journal of Taibah University for Science, 2022 A generalized differential operator utilizing Raina's function is constructed in light of a certain type of fractional calculus. We next use the generalized operators to build a formula for analytic functions of type normalized.
Rabha W. Ibrahim, Dumitru Baleanu
doaj +1 more source