Results 21 to 30 of about 1,940,574 (182)

Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator

Fractal and Fractional
The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable.
Ekram E. Ali, Miguel Vivas-Cortez, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +2 more sources

Application on Fuzzy Third-Order Subordination and Superordination Connected with Lommel Function

Mathematics
This work is based on the recently introduced concepts of third-order fuzzy differential subordination and its dual, third-order fuzzy differential superordination.
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +2 more sources

Fuzzy differential subordination associated with generalized Mittag-Leffler type Poisson distribution

Arab Journal of Basic and Applied Sciences
This article introduces a new operator defined by the convolution of the Poisson distribution series and the generalized Mittag-Leffler function. Applying this operator, we study a novel subclass of analytic functions using the technique of fuzzy ...
Bushra Kanwal, Kashmala Sarfaraz, Munnaza Naz, Afis Saliu   +3 more
doaj   +2 more sources

Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk

Axioms
This work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +2 more sources

Fuzzy Treatment for Meromorphic Classes of Admissible Functions Connected to Hurwitz–Lerch Zeta Function

Axioms
Fuzzy differential subordinations, a notion taken from fuzzy set theory and used in complex analysis, are the subject of this paper. In this work, we provide an operator and examine the characteristics of meromorphic functions in the punctured open unit ...
Ekram E. Ali, Rabha M. El-Ashwah, Abeer M. Albalahi, Rabab Sidaoui   +3 more
doaj   +2 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
doaj   +2 more sources

New Applications of Fuzzy Set Concept in the Geometric Theory of Analytic Functions

Axioms, 2023
Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios.
Alina Alb Lupaş
doaj   +1 more source

Fuzzy differential subordinations connected with the linear operator [PDF]

Mathematica Bohemica, 2021
We obtain several fuzzy differential subordinations by using a linear operator $\mathcal{I}_{m,\gamma}^{n,\alpha}f(z)=z+\sum\limits_{k=2}^{\infty}(1+\gamma( k-1))^nm^{\alpha}(m+k)^{-\alpha}a_kz^k$.
Sheza M. El-Deeb, Georgia I. Oros
doaj   +1 more source

Third-Order Differential Subordinations Using Fractional Integral of Gaussian Hypergeometric Function

Axioms, 2023
Sanford S. Miller and Petru T. Mocanu’s theory of second-order differential subordinations was extended for the case of third-order differential subordinations by José A. Antonino and Sanford S. Miller in 2011.
Georgia Irina Oros, Gheorghe Oros, Lavinia Florina Preluca   +2 more
doaj   +1 more source

Fuzzy Best Dominants for Certain Fuzzy Differential Subordinations [PDF]

, 2022
This paper aims to present a survey on certain fuzzy subordination properties for analytic functions defined in the open unit disk. The new results are derived by considering a certain differential operator.
Cătaş, Adriana, Adriana Cătaş
core   +1 more source