Results 51 to 60 of about 153,178 (286)
Fuzzy Subordination Results for Meromorphic Functions Associated with Hurwitz–Lerch Zeta Function
MathematicsThe 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 +4 more
doaj +1 more source
AIMS Mathematics, 2023 In this paper the authors combine the quantum calculus applications regarding the theories of differential subordination and superordination with fuzzy theory.
Alina Alb Lupaş +2 more
doaj +1 more source
Briot-Bouquet differential subordination and Bernardi's integral operator [PDF]
arXiv, 2021 The conditions on $A$, $B$, $\beta$ and $\gamma$ are obtained for an analytic function $p$ defined on the open unit disc $\mathbb{D}$ and normalized by $p(0)=1$ to be subordinate to $(1+Az)/(1+Bz)$, $-1\leq B
arxiv
Applications of Theory of Differential Subordination for Functions with Fixed Initial Coefficient to Univalent Functions [PDF]
Annales Polonici Mathematici, 105 (2012), 225-238, 2012 By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions is evident in the results obtained.
arxiv +1 more source
New Applications of Fuzzy Set Concept in the Geometric Theory of Analytic Functions
Axioms, 2023 Zadeh’s fuzzy set theory offers a logical, adaptable solution to the challenge of defining, assessing and contrasting various sustainability scenarios.
Alina Alb Lupaş
doaj +1 more source
On a Generalized Briot-Bouquet type Differential Subordination [PDF]
arXiv, 2021 We introduce and study the following special type of differential subordination implication: \begin{equation}\label{abs} p(z)Q(z)+\frac{zp'(z)}{\beta p(z)+\alpha}\prec h(z)\quad\Rightarrow p(z)\prec h(z), \end{equation} which generalizes the Briot-Bouquet differential subordination, where $Q(z)$ is analytic and $0\neq\beta,\alpha\in\mathbb{C ...
arxiv
Application of Pythagorean means and Differential Subordination [PDF]
arXiv, 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)\prec h(z), \end{equation*} where $\Phi,\;\Theta$ are analytic functions and $h$ is a univalent ...
arxiv
AIMS Mathematics, 2023 The results from this paper are related to the geometric function theory. In order to obtain them, we use the technique based on the properties of the differential subordination and superordination one of the newest techniques used in this field, we ...
Ekram E. Ali +2 more
doaj +1 more source
On Sufficient Conditions for the class $S^*_\cosh\sqrt{z}$ [PDF]
arXiv, 2023 Using differential subordination technique, such as Briot-Bouquet and others, we establish sufficient conditions for functions to be in a class $\mathcal{S}^{*}_{\varrho},$ consisting of starlike functions that are associated with $\varrho(z):=\cosh \sqrt{z}.$ %Further, using admissibility conditions, some differential subordination results for ...
arxiv
The Value of Device Characterization for the Optimization of Organic Solar Cells
Advanced Energy Materials, EarlyView.Using the example of organic photovoltaics (OPV), this study examines whether and when additional measurements can be helpful in process optimization. A virtual laboratory based on real solar cells serves as a benchmark function to compare two different approaches for process optimization, namely black‐box optimization (black circle) and model‐based ...
Leonard Christen +4 more
wiley +1 more source