Results 1 to 10 of about 85 (67)

Strong Differential Superordination Results Involving Extended Sălăgean and Ruscheweyh Operators [PDF]

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   +5 more sources

Strong Differential Subordinations and Superordinations for Riemann–Liouville Fractional Integral of Extended q-Hypergeometric Function

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   +3 more sources

Strong Differential Subordination and Superordination Results for Extended q-Analogue of Multiplier Transformation

Symmetry, 2023
The results obtained by the authors in the present article refer to quantum calculus applications regarding the theories of strong differential subordination and superordination. The q-analogue of the multiplier transformation is extended, in order to be applied on the specific classes of functions involved in strong differential subordination and ...
Alina Alb Lupaş, F Ghanim
exaly   +3 more sources

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, Gheorghe Oros, Ancuța Maria Rus   +2 more
doaj   +4 more sources

Strong differential subordination and superordination of analytic functions

Journal of Mathematical Analysis and Applications, 2012
Let \(A\) be the class of functions analytic in the unit disc \(\mathbb{U}= \{z\in\mathbb{C}:|z|< 1\}\). We say that a function \(f\in A\) is subordinate to \(g\in A\) if there exists a function \(w\in A\) such that \(|w(z)|< 1\) and \(f(z)= g(w(z))\) for \(z\in \mathbb{U}\). In this case we write \(f\prec g\) or \(f(z)\prec g(z)\).
T K Suresh
exaly   +3 more sources

Application of strong differential superordination to a general equation

Rocky Mountain Journal of Mathematics, 2017
In this paper, we study the notion of strong differential superordination as a dual concept of strong differential subordination, introduced in~\cite {1.a}. The notion of strong differential superordination has recently been studied by many authors, see, for example, \cite {2.a, 3.a, 5.a}.
Aghalary, R., Arjomandinia, P., Ebadian, A.   +2 more
exaly   +4 more sources

Strong Differential Subordinations Obtained with New Integral Operator Defined by Polylogarithm Function [PDF]

International Journal of Mathematics and Mathematical Sciences, 2014
By using the polylogarithm function, a new integral operator is introduced. Strong differential subordination and superordination properties are determined for some families of univalent functions in the open unit disk which are associated with new ...
K. AL-Shaqsi
doaj   +2 more sources

Strong differential sandwich results of l-pseudo-starlike functions with respect to symmetrical points [PDF]

Mathematica Moravica, 2019
In the present investigation, by considering suitable classes of admissible functions, we establish strong differential subordination and superordination properties for l-pseudo-starlike functions with respect to symmetrical points in the open unit disk ...
Srivastava H.M., Kareem Wanas Abbas
doaj   +1 more source

STRONG DIFFERENTIAL SUBORDINATION AND SUPERORDINATION OF NEW GENERALIZED DERIVATIVE OPERATOR

Korean Journal of Mathematics, 2015
Summary: In this work, certain classes of admissible functions are considered. Some strong differential subordination and superordination properties of analytic functions associated with new generalized derivative operator \(\mathfrak{B}^{\mu,q,s}_{\lambda_1,\lambda_2,\ell,d}\) are investigated.
Maslina Darus
exaly   +4 more sources

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, Majeed, Abdulrahman H.   +1 more
openaire   +2 more sources