Results 11 to 20 of about 32,526 (223)

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

Some Subclasses of Univalent and Bi-Univalent Functions Related to K-Fibonacci Numbers and Modified Sigmoid Function

open access: yesمجلة بغداد للعلوم, 2023
            This paper is interested in certain  subclasses of univalent and bi-univalent functions concerning  to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
doaj   +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

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

Maclaurin Coefficient Estimates for New Subclasses of Bi-univalent Functions Connected with a q-Analogue of Bessel Function

open access: yesAbstract and Applied Analysis, 2020
In this paper, we introduce new subclasses of the function class Σ of bi-univalent functions connected with a q-analogue of Bessel function and defined in the open unit disc.
Sheza M. El-Deeb
doaj   +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

Fekete-Szegö Functional for Bi-univalent Functions Related with Gegenbauer Polynomials

open access: yesJournal 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

Coefficient Bounds for a General Subclass of Bi-Univalent Functions

open access: yesLe Matematiche, 2016
In the present investigation, we introduce and investigate a new subclass of the function class Sigma of bi-univalent functions defined in the open unit disc. We find estimates on the coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in the function class S-Sigma (n, h, lambda).
Yalcin, SİBEL, ALTINKAYA, ŞAHSENE
openaire   +4 more sources

On Bi-Univalent Function Classes Defined via Gregory Polynomials

open access: yesMathematics
In this paper, we introduce and study a new subclass of bi-univalent functions related to Mittag–Leffler functions associated with Gregory polynomials and satisfy certain subordination conditions defined in the open unit disk.
Ibtisam Aldawish   +3 more
doaj   +2 more sources

Bi-Univalent Function Classes Defined by Imaginary Error Function and Bernoulli Polynomials

open access: yesAxioms
In recent years, special functions have played a significant role in the investigation of different subclasses within the class of bi-univalent functions. In this work, we present and investigate two new subclasses of bi-univalent functions defined in U={
Ibtisam Aldawish   +3 more
doaj   +2 more sources

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