Results 1 to 10 of about 58 (52)
Mathematics, 2023 The present research aims to present new results regarding the fundamental problem of providing sufficient conditions for finding the best subordinant of a third-order differential superordination. A theorem revealing such conditions is first proved in a
Georgia Irina Oros +1 more
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Applications of the Fractional Calculus in Fuzzy Differential Subordinations and Superordinations
Mathematics, 2021 The fractional integral of confluent hypergeometric function is used in this paper for obtaining new applications using concepts from the theory of fuzzy differential subordination and superordination.
Alina Alb Lupaş
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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions
Mathematics, 2020 The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination ...
Georgia Irina Oros
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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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Strong Differential Superordination Results Involving Extended Sălăgean and Ruscheweyh Operators
Mathematics, 2021 The notion of strong differential subordination was introduced in 1994 and the theory related to it was developed in 2009. The dual notion of strong differential superordination was also introduced in 2009.
Alina Alb Lupaş, Georgia Irina Oros
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Introducing the Third-Order Fuzzy Superordination Concept and Related Results
MathematicsThird-order fuzzy differential subordination studies were recently initiated by developing the main concepts necessary for obtaining new results on this topic.
Georgia Irina Oros +2 more
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Mathematics, 2023 The notions of strong differential subordination and its dual, strong differential superordination, have been introduced as extensions of the classical differential subordination and superordination concepts, respectively.
Alina Alb Lupaş, Georgia Irina Oros
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Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper we derive subordination and superordination results regarding the Atangana–Baleanu fractional integral applied to multiplier transformation and we give several differential sandwich‐type theorems. Then, we apply the Atangana–Baleanu fractional integral to extended multiplier transformation on the class Aζ∗ of normalized analytic functions
Alb Lupaş Alina +2 more
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Applications of Confluent Hypergeometric Function in Strong Superordination Theory
Axioms, 2022 In the research presented in this paper, confluent hypergeometric function is embedded in the theory of strong differential superordinations. In order to proceed with the study, the form of the confluent hypergeometric function is adapted taking into ...
Georgia Irina Oros +2 more
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Sandwich-type results regarding Riemann-Liouville fractional integral of q-hypergeometric function
Demonstratio Mathematica, 2023 The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using
Alb Lupaş Alina, Oros Georgia Irina
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