Results 41 to 50 of about 4,249,443 (275)

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

Differential subordination for Janowski functions with positive real part

, 2021
Theory of differential subordination provides techniques to reduce differential subordination problems into verifying some simple algebraic condition called admissibility condition.
ANAND, Swati, RAVICHANDRAN, V., KUMAR, Sushil   +2 more
core   +1 more source

Applications of Fuzzy Differential Subordination for a New Subclass of Analytic Functions

Axioms, 2023
This work is concerned with the branch of complex analysis known as geometric function theory, which has been modified for use in the study of fuzzy sets.
Shahid Khan, J. Ro, Fairouz Tchier, N. Khan   +3 more
semanticscholar   +1 more source

Properties of Differential Subordination and Superordination for Multivalent Functions Associated with the Convolution Operators

Axioms, 2023
Using convolution (or Hadamard product), we define the El-Ashwah and Drbuk linear operator, which is a multivalent function in the unit disk U=w ...
Luminița-Ioana Cotîrlă, A. R. Juma
semanticscholar   +1 more source

Application of Pythagorean means and Differential Subordination [PDF]

Bulletin of the Belgian Mathematical Society Simon Stevin, 2022
For $0\leq\alpha\leq 1,$ let $H_{\alpha}(x,y)$ be the convex weighted harmonic mean of $x$ and $y.$ We establish differential subordination implications of the form \begin{equation*} H_{\alpha}(p(z),p(z)\Theta(z)+zp'(z)\Phi(z))\prec h(z)\Rightarrow p(z ...
S. Kumar, Priyanka Goel
semanticscholar   +1 more source

Applications of differential subordinations involving a generalized fractional differintegral operator

Journal of Inequalities and Applications, 2019
Using the third-order differential subordination basic results, we introduce certain classes of admissible functions and investigate some applications of third-order differential subordination for p-valent functions associated with generalized fractional
Hanaa M. Zayed, Teodor Bulboacă
doaj   +1 more source

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
doaj   +1 more source

Differential Subordination and Differential Superordination for Classes of Admissible Multivalent Functions Associated with a Linear Operator

Mathematics, 2022
In this paper, we first introduce a linear integral operator ℑp(a,c,μ)(μ>0;a,c∈R;c>a>−μp;p∈N+:={1,2,3,⋯}), which is somewhat related to a rather specialized form of the Riemann–Liouville fractional integral operator and its varied form known as the ...
E. E. Ali, H. Srivastava, R. El-ashwah, A. Albalahi   +3 more
semanticscholar   +1 more source

On Certain Subclasses of Analytic Functions Defined by Differential Subordination [PDF]

, 2011
We introduce and study certain subclasses of analytic functions which are defined by differential subordination. Coefficient inequalities, some properties of neighborhoods, distortion and covering theorems, radius of starlikeness, and convexity for these
Hesam Mahzoon
core   +1 more source

Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function

Mathematics
The notion of the fuzzy set was incorporated into geometric function theory in recent years, leading to the emergence of fuzzy differential subordination theory, which is a generalization of the classical differential subordination notion.
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi, Marwa Ennaceur   +4 more
doaj   +1 more source