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Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe 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
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Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator
Fractal and FractionalThe 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
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DIFFERENTIALSUBORDINATIONSANDFUZZY DIFFERENTIALSUBORDINATIONSUSING HILBERTSPACEOPERATOR
South East Asian Journal of Mathematics and Mathematical Sciences, 2023 Differentialsubordinationhasrecentlybeenextendedfromthegeometric functiontheorytothe fuzzyset theorybyseveral authors. Inthispaper,we usethenotionoffuzzydifferentialsubordinationtointroducecertainfuzzyclasses usingHilbertSpaceOperator.Certaininterestingresultsareestablishedforthese classes.
Naik, Uday H. +2 more
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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
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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 ...
Hari Mohan Srivastava, Sheza M. El-Deeb
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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 +3 more
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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 +2 more
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New fuzzy differential subordinations
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021 Summary: In this paper, some new fuzzy differential subordinations obtained by using the integral operator \(I^m_{\gamma} : A_n \rightarrow A_n\) introduced in [the author et al., J. Comput. Anal. Appl. 19, No. 5, 904--910 (2015; Zbl 1320.30032)] are obtained.
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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
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AIMS Mathematics, 2023 <abstract><p>In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory. These results are established by means of an operator defined as the $ q $-analogue of the multiplier transformation.
Alina Alb Lupaş +2 more
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