Results 41 to 50 of about 174,470 (242)

DIFFERENTIAL SUBORDINATIONS AND FUZZY DIFFERENTIAL SUBORDINATIONS USING HILBERT SPACE OPERATOR

South East Asian J. of Mathematics and Mathematical Sciences, 2023
Differential subordination has recently been extended from the geometric function theory to the fuzzy set theory by several authors. In this paper, we use the notion of fuzzy differential subordination to introduce certain fuzzy classes using Hilbert Space Operator. Certain interesting results are established for these classes.
Machchhindra T Gophane, Raisa M Shaikh, Uday H Naik   +2 more
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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

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

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

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

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

Fuzzy differential subordinations and superordinations for univalent functions involving linear operator [PDF]

AIP Conference Proceedings, 2023
Duaa Abdullah Salih, Abdul Rahman S. Juma, Ali Al-Fayadh   +2 more
openaire   +2 more sources

New Developments in Geometric Function Theory [PDF]

, 2023
The book contains papers published in a Special Issue of Axioms, entitled "New Developments in Geometric Function Theory". An Editorial describes the 14 papers devoted to the study of complex-valued functions which present new outcomes related to special

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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

Study of the fuzzy q−spiral-like functions associated with the generalized linear operator [PDF]

, 2023
Nowadays, the subclasses of analytic functions in terms of fuzzy subsets are studied by various scholars and some of these concepts are extended using the $ q- $theory of functions.
A. A. Azzam, Daniel Breaz, Luminiţa-Ioana Cotîrlă, Shujaat Ali Shah   +3 more
core   +1 more source