Results 21 to 30 of about 128 (72)

Fuzzy Best Dominants for Certain Fuzzy Differential Subordinations

open access: yesJournal of Advances in Applied & Computational Mathematics, 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. By making use of two differential properties of the operator we determine sufficient conditions to find the fuzzy best dominants for several fuzzy
Cătaş, Adriana
openaire   +4 more sources

Introduction in third-order fuzzy differential subordination

open access: yesHacettepe Journal of Mathematics and Statistics
In light of the well-established and widely-used theory of differential subordination, recent works incorporating fuzzy elements into Geometric Function Theory have given rise to the concept of fuzzy differential subordination. Second-order fuzzy differential subordinations were taken into consideration for studies up until this point.
Georgia Irina Oros   +2 more
openaire   +3 more sources

Certain Results on Fuzzy p-Valent Functions Involving the Linear Operator

open access: yesMathematics, 2023
The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory.
Ekram Elsayed Ali   +3 more
doaj   +2 more sources

Fuzzy Differential Inequalities for Convolution Product of Ruscheweyh Derivative and Multiplier Transformation

open access: yesAxioms, 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   +2 more sources

Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function

open access: yesMathematics
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali   +4 more
doaj   +2 more sources

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

open access: yesAxioms, 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   +2 more
doaj   +2 more sources

Differential and fuzzy differential sandwich theorems involving quantum calculus operators

open access: yesJournal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +3 more sources

FUZZY DIFFERENTIAL SUBORDINATION INVOLVING GENERALIZED NOOR-RUSCHEWEYH OPERATOR [PDF]

open access: yesFacta Universitatis, Series: Mathematics and Informatics
A new operator Lnλ is introduced as a convex combination of Ruscheweyh derivative operator and Noor integral operator on the class A of analytic functions in the open unit disc E. The operator Lnλ is studied using fuzzy set theory and fuzzy differential subordination. All the results proved are sharp.
Khalida Inayat Noor, Muhammad Aslam Noor
openaire   +3 more sources

Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator

open access: yesFractal 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   +3 more
doaj   +2 more sources

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

open access: yesMathematics
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   +3 more
doaj   +2 more sources

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