Results 11 to 20 of about 182 (132)

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 \(f(z)\prec g(z)\).
Jeyaraman, M.P., Suresh, T.K.
exaly   +2 more sources

Sandwich Theories for Pascal Distribution–Related Univalent Functions

International Journal of Mathematics and Mathematical Sciences
This paper investigates differential subordination and superordination for univalent functions, emphasizing operators derived from the Pascal distribution.
Fatma Z. El-Emam, Samar M. Madian
doaj   +2 more sources

Differential Subordination and Superordination Results Associated with Mittag–Leffler Function

Mathematics, 2021
In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler function.
Adel A. Attiya, Mohamed K. Aouf, Ekram E. Ali, Mansour F. Yassen   +3 more
doaj   +3 more sources

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   +3 more sources

Differential subordination and superordination results for Cho–Kwon–Srivastava operator

Computers and Mathematics With Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Sivasubramanian
exaly   +3 more sources

On a differential subordination and superordination of a new class of meromorphic functions

Le Matematiche, 2014
In this paper, we investigate differential subordination and superordination properties of a new class of meromorphic analytic functions in the punctured unit disc.We derive some sandwich theorems.
Ali Muhammad, Marjan Saeed
doaj   +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   +3 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   +1 more source

Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects

Mathematics, 2022
The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +1 more source

APPLICATIONS OF DIFFERENTIAL SUBORDINATION AND SUPERORDINATION [PDF]

Journal of the Indonesian Mathematical Society, 2012
In the present investigation we obtain asndwich theorems for certain subclass of analytic functions defined by convolution.
C. Ganesamoorthy, N. Marikkannan, M. P. Jeyaraman   +2 more
openaire   +1 more source