Results 11 to 20 of about 511 (181)

Third-order differential subordination and superordination involving a fractional operator

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, Muhammad Zaini Ahmad, Hiba F Al-Janaby   +2 more
exaly   +3 more sources

Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

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, Abdul Rahman S Juma   +1 more
exaly   +4 more sources

Differential Subordination and Superordination Results Associated with Mittag–Leffler Function

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, Mohamed K Aouf, Ekram E Ali   +2 more
exaly   +4 more sources

Introducing the Third-Order Fuzzy Superordination Concept and Related Results

Mathematics
Third-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic.
Georgia Irina Oros, Simona Dzitac, Daniela Andrada Bardac-Vlada   +2 more
exaly   +4 more sources

A Class of Integral Operators Preserving Subordination and Superordination

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
doaj   +4 more sources

New Developments on the Theory of Third-Order Differential Superordination Involving Gaussian Hypergeometric Function

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, Lavinia Florina Preluca   +1 more
doaj   +2 more sources

Subordination and Superordination on Schwarzian Derivatives [PDF]

Journal of Inequalities and Applications, 2008
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 ...
Ali RosihanM, N. Seenivasagan, RosihanM Ali, Rosihan M. Ali, N Seenivasagan, V Ravichandran, Seenivasagan N, V. Ravichandran, Ravichandran V   +8 more
core   +6 more sources

On Third-Order Differential Subordination and Superordination Properties of Analytic Functions Defined by a Generalized Operator

Symmetry, 2022
In this current study, we aim to give some results for third-order differential subordination and superordination for analytic functions in U={z∈ℂ:|z|<1} involving the generalized operator Iα,βjf.
Waggas Galib Atshan, Sahsene Altinkaya, Atshan Waggas Galib   +2 more
exaly   +3 more sources

Differential Subordination and Superordination Results for q-Analogue of Multiplier Transformation

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
doaj   +2 more sources

Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects

Mathematics, 2022
The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +2 more sources