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
doaj +1 more source
On some differential subordination theorems of multivalent functions involving integral operator
Journal of Kufa for Mathematics and Computer, 2022 Notice of Retraction: Post-publication review of this paper by an expert committee revealed a violation of JoKMC's publication principles. Strong similarity of content has been found between this paper and an earlier publication entitled: On ...
Heba Kadhim, Oroba Mahdi, Husham Kareem
doaj +1 more source
Fractal and Fractional, 2022 The results contained in this paper are the result of a study regarding fractional calculus combined with the classical theory of differential subordination established for analytic complex valued functions.
Georgia Irina Oros +2 more
doaj +1 more source
New Criteria for Starlikness and Convexity of a Certain Family of Integral Operators
Mathematics, 2023 In this paper, we first modify one of the most famous theorems on the principle of differential subordination to hold true for normalized analytic functions with a fixed initial Taylor-Maclaurin coefficient. By using this modified form, we generalize and
Hari M. Srivastava +4 more
doaj +1 more source
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
doaj +1 more source
Strong differential subordinates for noncommutative submartingales [PDF]
The Annals of Probability, 2019 Let \(f=(f_n)_{n\geq0}\) and \(g=(g_n)_{n\geq0}\) be two adapted sequences of integrable random variables with the corresponding differences \(df =(df_n)_{n\geq0}, dg =(dg_n)_{n\geq0}\) given by \(df_0 =f_0\) and \(df_n = f_n-f_{n-1}\) for \(n\geq1\) (with an analogous formula for \(dg\)). Then \(g\) is said to be differentially subordinate to \(f\) if,
Jiao, Yong, Osȩkowski, Adam, Wu, Lian
openaire +2 more sources
Some strong differential subordinations using a differential operator [PDF]
Carpathian Journal of Mathematics, 2015 We obtain several strong differential subordinations regarding the extended operator RDn λ,α. Some examples are presented.
LORIANA ANDREI, MITROFAN CHOBAN
openaire +1 more source
Strong Subordination for E -valent Functions Involving the Operator Generalized Srivastava-Attiya
مجلة بغداد للعلوم, 2020 Some relations of inclusion and their properties are investigated for functions of type " -valent that involves the generalized operator of Srivastava-Attiya by using the principle of strong differential subordination.
Thamer Khalil MS. Al Al-Khafaji
doaj +1 more source
New Strong Differential Subordination and Superordination of Meromorphic Multivalent Quasi-Convex Functions [PDF]
Kragujevac Journal of Mathematics, 2020 Summary: New strong differential subordination and superordination results are obtained for meromorphic multivalent quasi-convex functions in the punctured unit disk by investigating appropriate classes of admissible functions. Strong differential sandwich results are also obtained.
Wanas, Abbas Kareem +1 more
openaire +2 more sources
Applications of a Multiplier Transformation and Ruscheweyh Derivative for Obtaining New Strong Differential Subordinations [PDF]
Symmetry, 2021 Here, we study strong differential subordinations for the extended new operator IRλ,lm defined by the Hadamard product of the extended multiplier transformation Im,λ,l and the extended Ruscheweyh derivative Rm, on the class of normalized analytic functions Anζ∗={f∈H(U×U¯),f(z,ζ)=z+an+1ζzn+1+⋯,z∈U,ζ∈U¯}, by IRλ,lm:Anζ∗→Anζ∗, IRλ,lmfz,ζ=Im,λ,l∗Rmfz,ζ.
openaire +1 more source