Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function [PDF]
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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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions [PDF]
Mathematics, 2020 The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
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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.
Ibrahim Rabha W. +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 ...
Luminiţa-Ioana Cotîrlă +1 more
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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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Subordination and Superordination Results for a Class of Analytic Multivalent Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 We derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results.
S. P. Goyal +2 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 A. Attiya +3 more
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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.
Rabha W. Ibrahim
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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
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AIMS MathematicsIn this paper, we derive several fuzzy differential subordination and fuzzy differential superordination results for analytic functions $ \mathcal{M}_{\xi, \beta}^{s, \gamma} $, which involve the extended Mittag-Leffler function and the Pascal ...
Madan Mohan Soren +1 more
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