Results 31 to 40 of about 13,207 (181)

On Special Fuzzy Differential Subordinations Using Generalized Sala gean Operator and Ruscheweyh Derivative [PDF]

Journal of Advances in Applied & Computational Mathematics, 2017
: In the present paper we establish several fuzzy differential subordinations regardind the operator RD!,"m , givenby RD!,"m : A # A, RD!,"m f (z) = (1#")Rm f (z)+"D!m f (z), where Rm f (z) denote the Ruscheweyh derivative, D!m f (z) is thegeneralized S !a l!a gean operator and A = { f !H(U), f (z) = z + a2z2 +…, z !U} is the class of normalized ...
Alina Alb Lupaş
semanticscholar   +3 more sources

New Results about Fuzzy Differential Subordinations Associated with Pascal Distribution [PDF]

Symmetry, 2023
Based upon the Pascal distribution series Nq,λr,mΥ(ζ):=ζ+∑j=m+1∞j+r−2r−11+λ(j−1)qj−1(1−q)rajζj, we can obtain a set of fuzzy differential subordinations in this investigation. We also newly obtain class Pq,λF,r,mη of univalent analytic functions defined by the operator Nq,λr,m, give certain properties for the class Pq,λF,r,mη and also obtain some ...
Sheza M. El-Deeb, Luminiţa-Ioana Cotîrlă   +1 more
openalex   +2 more sources

Fuzzy differential subordinations connected with convolution [PDF]

Studia Universitatis Babes-Bolyai Matematica, 2023
"The object of the present paper is to obtain several fuzzy differential subordinations associated with Linear operator $$\mathcal{D}_{n,\delta ,g}^{m}f(z) =z+\sum\limits_{j=2}^{\infty }\left[ 1+\left( j-1\right) c^{n}(\delta )\right] ^{m}a_{j}b_{j}z^{j}.$$ Using the operator $\mathcal{D}_{n,\delta ,g}^{m},$ we also introduce a class $\mathcal{H}_{n,m,\
Sheza M. El-Deeb, Alina Alb-Lupas
openalex   +2 more sources

Fuzzy Differential Subordinations Based upon the Mittag-Leffler Type Borel Distribution [PDF]

Symmetry, 2021
In this paper, we investigate several fuzzy differential subordinations that are connected with the Borel distribution series Bλ,α,β(z) of the Mittag-Leffler type, which involves the two-parameter Mittag-Leffler function Eα,β(z). Using the above-mentioned operator Bλ,α,β, we also introduce and study a class Mλ,α,βFη of holomorphic and univalent ...
H. M. Srivastava, Sheza M. El-Deeb
openalex   +4 more sources

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

Axioms, 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 Best Dominants for Certain Fuzzy Differential Subordinations

Journal 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
Adriana Cătaş
openalex   +4 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   +2 more sources

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

Mathematics, 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, Miguel Vivas-Cortez, Shujaat Ali Shah, Abeer M. Albalahi   +3 more
doaj   +2 more sources

Differential and fuzzy differential sandwich theorems involving quantum calculus operators

Journal 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   +2 more sources

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

Mathematics
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, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi, Marwa Ennaceur   +4 more
doaj   +2 more sources