Results 11 to 20 of about 5,509 (167)
Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]
HeliyonIn this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh +4 more
doaj +2 more sources
Coefficient Estimates for Certain Classes of Bi-Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2013 A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
doaj +2 more sources
Bi-Univalent Function Classes Defined by Using a Second Einstein Function
Journal of Function Spaces, 2022 Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane.
Alaa H. El-Qadeem +2 more
doaj +3 more sources
Texture analysis using Horadam polynomial coefficient estimate for the class of Sakaguchi kind function [PDF]
Scientific Reports, 2023 This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk $$\mathbb {D}$$ D . We introduced bi-univalent class $$\mathcal {C}_{\Sigma }(\lambda , t,\nu )$$ C Σ ( λ , t , ν ) . Making use of Horadam
H. Priya, B. Sruthakeerthi
doaj +2 more sources
Coefficient Bounds for Certain Subclasses of Bi-Univalent Function [PDF]
Abstract and Applied Analysis, 2013 We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.
G. Murugusundaramoorthy +2 more
doaj +4 more sources
Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions [PDF]
Journal of Inequalities and Applications, 2018 In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ={z:z∈C ...
F. Müge Sakar
doaj +2 more sources
Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials
Journal of Mathematics, 2022 In this paper, we introduce and investigate a new subclass of bi-univalent functions related with generating function of Gegenbauer polynomials. We will mainly find bounds on Maclaurin series coefficients for functions belonging to this class.
Ibrar Ahmad +4 more
doaj +2 more sources
Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials
Journal of Function SpacesIn this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination.
Ebrahim Amini, Shrideh Al-Omari
doaj +2 more sources
Results on BI-univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1981 When the class σ \sigma of bi-univalent functions was first defined, it was known that functions of the form ϕ ∘ ψ − 1 ∈ σ \phi \circ {\psi ^{ - 1}} \in \sigma when ϕ \phi and
Styer, D., Wright, D. J.
openaire +2 more sources
Fractal and Fractional, 2023 In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
Timilehin Gideon Shaba +5 more
doaj +1 more source