Results 11 to 20 of about 580,998 (225)

Results on BI-univalent Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1981
When the class σ \sigma of bi ...
Styer, D., Wright, D. J.
openaire   +3 more sources

Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials

open access: yesMathematics, 2023
Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
doaj   +2 more sources

A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers

open access: yesMathematics, 2019
In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya   +2 more
doaj   +2 more sources

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

open access: yesAxioms, 2023
Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well as Fekete–Szegö inequalities are derived. Specializing the parameters used in our main results leads
Ala Amourah   +5 more
openaire   +3 more sources

Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials

open access: yesJournal of Function Spaces
In 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

Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q-Derivative Operator

open access: yesMathematics, 2020
Recently, a number of features and properties of interest for a range of bi-univalent and univalent analytic functions have been explored through systematic study, e.g., coefficient inequalities and coefficient bounds. This study examines S q δ
Suhila Elhaddad, Maslina Darus
doaj   +2 more sources

Coefficient estimates for certain subclass of bi-univalent functions [PDF]

open access: yesAIP Conference Proceedings, 2017
In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.
Nurdiana Nurali   +2 more
openaire   +4 more sources

On a new subclass of bi-univalent functions

open access: yesJournal of the Egyptian Mathematical Society, 2013
The authors use the Sălăgean derivative to define two classes of bi-univalent function. Furthermore, they obtain estimates of \(|a_2|\) and \(|a_3|\) for the functions \(f(z)=z+\sum_{i=2}^\infty a_i z^i\) in those classes.
Porwal, Saurabh, Darus, M.
openaire   +2 more sources

Initial Coefficient Estimates for Bi-Univalent Functions Related to Generalized Telephone Numbers

open access: yesJournal of Mathematics
This study defines three novel classes of bi-univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients a2 and a3 and Fekete–Szegö functional problems for functions ...
Gangadharan Murugusundaramoorthy   +4 more
doaj   +2 more sources

Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions

open access: yesAxioms
New subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh   +5 more
doaj   +2 more sources

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