Results 11 to 20 of about 2,529,533 (324)
Applications of the q-Sălăgean Differential Operator Involving Multivalent Functions
Axioms, 2022 In this article we explore several applications of q-calculus in geometric function theory. Using the method of differential subordination, we obtain interesting univalence properties for the q-Sălăgean differential operator.
Alina Alb Lupaş
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Differential Subordination and Superordination Results for q-Analogue of Multiplier Transformation
Fractal and Fractional, 2023 The results obtained by the authors in the present paper refer to quantum calculus applications regarding the theories of differential subordination and superordination.
Alina Alb Lupaş, Adriana Cătaş
doaj +1 more source
Mathematics, 2023 In this study, we explore the implications of a third-order differential subordination in the context of analytic functions associated with fractional differential operators.
Faten Fakher Abdulnabi +3 more
doaj +1 more source
Mathematics, 2023 This article presents a new q-analog integral operator, which generalizes the q-Srivastava–Attiya operator. Using this q-analog operator, we define a family of analytic non-Bazilevič functions, denoted as Tq,τ+1,uμ(ϑ,λ,M,N).
Sarem H. Hadi +3 more
doaj +1 more source
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
doaj +1 more source
Axioms, 2022 New results concerning fuzzy differential subordination theory are obtained in this paper using the operator denoted by Dz−λLαn, previously introduced by applying the Riemann–Liouville fractional integral to the convex combination of well-known ...
Alina Alb Lupaş
doaj +1 more source
Mathematics, 2021 The present paper deals with notions from the field of complex analysis which have been adapted to fuzzy sets theory, namely, the part dealing with geometric function theory.
Alina Alb Lupaş, Georgia Irina Oros
doaj +1 more source
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 +1 more source