Third-order differential subordination and superordination involving a fractional operator [PDF]
Open Mathematics, 2015 The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study.
Rabha W Ibrahim +2 more
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Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators [PDF]
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 ...
Cotirla Luminiţa-Ioana +1 more
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Differential Subordination and Superordination Results Associated with Mittag–Leffler Function [PDF]
Mathematics, 2021 In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler function.
Adel Attiya +2 more
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Introducing the Third-Order Fuzzy Superordination Concept and Related Results [PDF]
MathematicsThird-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic.
Simona Dzitac +2 more
exaly +4 more sources
A Class of Integral Operators Preserving Subordination and Superordination [PDF]
Journal of Inequalities and Applications, 2008 We give some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk.
Cho NakEun, Kim InHwa
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New Developments on the Theory of Third-Order Differential Superordination Involving Gaussian Hypergeometric Function [PDF]
Mathematics, 2023 The present research aims to present new results regarding the fundamental problem of providing sufficient conditions for finding the best subordinant of a third-order differential superordination. A theorem revealing such conditions is first proved in a
Georgia Irina Oros +1 more
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Subordination and Superordination on Schwarzian Derivatives [PDF]
Journal of Inequalities and Applications, 2008 Abstract Let the functions be analytic and let be analytic univalent in the unit disk. Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function are obtained so that either or .
N. Seenivasagan +2 more
openaire +7 more sources
Differential Subordination and Superordination Results for q-Analogue of Multiplier Transformation [PDF]
Fractal and Fractional, 2023 The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination.
Alina Alb Lupaş, Adriana Cătaş
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Differential subordination and superordination results for generalized "Srivastava-Attiya" fractional integral operator [PDF]
Mathematica Moravica, 2022 In this paper, we derive some subordination and superordination results for the generalized "Srivastava-Attiya" fractional integral operator. Some interesting corollaries for this operator is also obtained.
Soni Amit
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Mathematics, 2023 The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
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